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Finding the Third Proportional to 140,432 and 292,526

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Solution

The third proportional to 140,432 and 292,526 is: 609,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,432 : 292,526 = 292,526 : x
  2. Step 2: Convert to fraction form
    140,432/292,526 = 292,526/x
  3. Step 3: Cross multiply
    140,432x = 292,526 × 292,526
  4. Step 4: Simplify right side
    140,432x = 85,571,460,676
  5. Step 5: Solve for x
    x = 85,571,460,676/140,432
  6. Step 6: Final answer
    x = 609,344.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.