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Finding the Third Proportional to 140,594 and 331,877

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Solution

The third proportional to 140,594 and 331,877 is: 783,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,594 : 331,877 = 331,877 : x
  2. Step 2: Convert to fraction form
    140,594/331,877 = 331,877/x
  3. Step 3: Cross multiply
    140,594x = 331,877 × 331,877
  4. Step 4: Simplify right side
    140,594x = 110,142,343,129
  5. Step 5: Solve for x
    x = 110,142,343,129/140,594
  6. Step 6: Final answer
    x = 783,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.