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Finding the Third Proportional to 125,448 and 303,402

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Solution

The third proportional to 125,448 and 303,402 is: 733,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,448 : 303,402 = 303,402 : x
  2. Step 2: Convert to fraction form
    125,448/303,402 = 303,402/x
  3. Step 3: Cross multiply
    125,448x = 303,402 × 303,402
  4. Step 4: Simplify right side
    125,448x = 92,052,773,604
  5. Step 5: Solve for x
    x = 92,052,773,604/125,448
  6. Step 6: Final answer
    x = 733,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.