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Finding the Third Proportional to 142,622 and 250,246

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Solution

The third proportional to 142,622 and 250,246 is: 439,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,622 : 250,246 = 250,246 : x
  2. Step 2: Convert to fraction form
    142,622/250,246 = 250,246/x
  3. Step 3: Cross multiply
    142,622x = 250,246 × 250,246
  4. Step 4: Simplify right side
    142,622x = 62,623,060,516
  5. Step 5: Solve for x
    x = 62,623,060,516/142,622
  6. Step 6: Final answer
    x = 439,084.16

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.