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Finding the Third Proportional to 131,024 and 307,988

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Solution

The third proportional to 131,024 and 307,988 is: 723,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,024 : 307,988 = 307,988 : x
  2. Step 2: Convert to fraction form
    131,024/307,988 = 307,988/x
  3. Step 3: Cross multiply
    131,024x = 307,988 × 307,988
  4. Step 4: Simplify right side
    131,024x = 94,856,608,144
  5. Step 5: Solve for x
    x = 94,856,608,144/131,024
  6. Step 6: Final answer
    x = 723,963.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.