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Finding the Third Proportional to 133,053 and 285,791

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Solution

The third proportional to 133,053 and 285,791 is: 613,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053 : 285,791 = 285,791 : x
  2. Step 2: Convert to fraction form
    133,053/285,791 = 285,791/x
  3. Step 3: Cross multiply
    133,053x = 285,791 × 285,791
  4. Step 4: Simplify right side
    133,053x = 81,676,495,681
  5. Step 5: Solve for x
    x = 81,676,495,681/133,053
  6. Step 6: Final answer
    x = 613,864.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.