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Finding the Third Proportional to 139,632 and 301,402

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Solution

The third proportional to 139,632 and 301,402 is: 650,589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,632 : 301,402 = 301,402 : x
  2. Step 2: Convert to fraction form
    139,632/301,402 = 301,402/x
  3. Step 3: Cross multiply
    139,632x = 301,402 × 301,402
  4. Step 4: Simplify right side
    139,632x = 90,843,165,604
  5. Step 5: Solve for x
    x = 90,843,165,604/139,632
  6. Step 6: Final answer
    x = 650,589.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.