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Finding the Third Proportional to 131,967.75 and 290,177.25

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Solution

The third proportional to 131,967.75 and 290,177.25 is: 638,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,967.75 : 290,177.25 = 290,177.25 : x
  2. Step 2: Convert to fraction form
    131,967.75/290,177.25 = 290,177.25/x
  3. Step 3: Cross multiply
    131,967.75x = 290,177.25 × 290,177.25
  4. Step 4: Simplify right side
    131,967.75x = 84,202,836,417.56
  5. Step 5: Solve for x
    x = 84,202,836,417.56/131,967.75
  6. Step 6: Final answer
    x = 638,056.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.