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Finding the Third Proportional to 238,952.25 and 366,720.75

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Solution

The third proportional to 238,952.25 and 366,720.75 is: 562,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,952.25 : 366,720.75 = 366,720.75 : x
  2. Step 2: Convert to fraction form
    238,952.25/366,720.75 = 366,720.75/x
  3. Step 3: Cross multiply
    238,952.25x = 366,720.75 × 366,720.75
  4. Step 4: Simplify right side
    238,952.25x = 134,484,108,480.56
  5. Step 5: Solve for x
    x = 134,484,108,480.56/238,952.25
  6. Step 6: Final answer
    x = 562,807.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.