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Finding the Third Proportional to 175,964 and 239,069

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Solution

The third proportional to 175,964 and 239,069 is: 324,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,964 : 239,069 = 239,069 : x
  2. Step 2: Convert to fraction form
    175,964/239,069 = 239,069/x
  3. Step 3: Cross multiply
    175,964x = 239,069 × 239,069
  4. Step 4: Simplify right side
    175,964x = 57,153,986,761
  5. Step 5: Solve for x
    x = 57,153,986,761/175,964
  6. Step 6: Final answer
    x = 324,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.