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Finding the Third Proportional to 203,569 and 307,581

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Solution

The third proportional to 203,569 and 307,581 is: 464,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,569 : 307,581 = 307,581 : x
  2. Step 2: Convert to fraction form
    203,569/307,581 = 307,581/x
  3. Step 3: Cross multiply
    203,569x = 307,581 × 307,581
  4. Step 4: Simplify right side
    203,569x = 94,606,071,561
  5. Step 5: Solve for x
    x = 94,606,071,561/203,569
  6. Step 6: Final answer
    x = 464,737.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.