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Finding the Third Proportional to 151,834 and 351,503.13

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Solution

The third proportional to 151,834 and 351,503.13 is: 813,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,834 : 351,503.13 = 351,503.13 : x
  2. Step 2: Convert to fraction form
    151,834/351,503.13 = 351,503.13/x
  3. Step 3: Cross multiply
    151,834x = 351,503.13 × 351,503.13
  4. Step 4: Simplify right side
    151,834x = 123,554,446,884.77
  5. Step 5: Solve for x
    x = 123,554,446,884.77/151,834
  6. Step 6: Final answer
    x = 813,746.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.