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Finding the Third Proportional to 187,306 and 297,914

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Solution

The third proportional to 187,306 and 297,914 is: 473,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,306 : 297,914 = 297,914 : x
  2. Step 2: Convert to fraction form
    187,306/297,914 = 297,914/x
  3. Step 3: Cross multiply
    187,306x = 297,914 × 297,914
  4. Step 4: Simplify right side
    187,306x = 88,752,751,396
  5. Step 5: Solve for x
    x = 88,752,751,396/187,306
  6. Step 6: Final answer
    x = 473,838.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.