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Finding the Third Proportional to 238,087.90 and 508,465.27

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Solution

The third proportional to 238,087.90 and 508,465.27 is: 1,085,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,087.90 : 508,465.27 = 508,465.27 : x
  2. Step 2: Convert to fraction form
    238,087.90/508,465.27 = 508,465.27/x
  3. Step 3: Cross multiply
    238,087.90x = 508,465.27 × 508,465.27
  4. Step 4: Simplify right side
    238,087.90x = 258,536,926,347.10
  5. Step 5: Solve for x
    x = 258,536,926,347.10/238,087.90
  6. Step 6: Final answer
    x = 1,085,888.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.