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Finding the Third Proportional to 142,356.50 and 214,466

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Solution

The third proportional to 142,356.50 and 214,466 is: 323,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,356.50 : 214,466 = 214,466 : x
  2. Step 2: Convert to fraction form
    142,356.50/214,466 = 214,466/x
  3. Step 3: Cross multiply
    142,356.50x = 214,466 × 214,466
  4. Step 4: Simplify right side
    142,356.50x = 45,995,665,156
  5. Step 5: Solve for x
    x = 45,995,665,156/142,356.50
  6. Step 6: Final answer
    x = 323,101.97

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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.