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Finding the Third Proportional to 143,325 and 306,737

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Solution

The third proportional to 143,325 and 306,737 is: 656,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,325 : 306,737 = 306,737 : x
  2. Step 2: Convert to fraction form
    143,325/306,737 = 306,737/x
  3. Step 3: Cross multiply
    143,325x = 306,737 × 306,737
  4. Step 4: Simplify right side
    143,325x = 94,087,587,169
  5. Step 5: Solve for x
    x = 94,087,587,169/143,325
  6. Step 6: Final answer
    x = 656,463.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.