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Finding the Third Proportional to 119,396 and 259,528

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Solution

The third proportional to 119,396 and 259,528 is: 564,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,396 : 259,528 = 259,528 : x
  2. Step 2: Convert to fraction form
    119,396/259,528 = 259,528/x
  3. Step 3: Cross multiply
    119,396x = 259,528 × 259,528
  4. Step 4: Simplify right side
    119,396x = 67,354,782,784
  5. Step 5: Solve for x
    x = 67,354,782,784/119,396
  6. Step 6: Final answer
    x = 564,129.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.