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Finding the Third Proportional to 142,732 and 307,390

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Solution

The third proportional to 142,732 and 307,390 is: 662,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,732 : 307,390 = 307,390 : x
  2. Step 2: Convert to fraction form
    142,732/307,390 = 307,390/x
  3. Step 3: Cross multiply
    142,732x = 307,390 × 307,390
  4. Step 4: Simplify right side
    142,732x = 94,488,612,100
  5. Step 5: Solve for x
    x = 94,488,612,100/142,732
  6. Step 6: Final answer
    x = 662,000.20

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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.