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Finding the Third Proportional to 175,624.50 and 250,962.75

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Solution

The third proportional to 175,624.50 and 250,962.75 is: 358,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,624.50 : 250,962.75 = 250,962.75 : x
  2. Step 2: Convert to fraction form
    175,624.50/250,962.75 = 250,962.75/x
  3. Step 3: Cross multiply
    175,624.50x = 250,962.75 × 250,962.75
  4. Step 4: Simplify right side
    175,624.50x = 62,982,301,887.56
  5. Step 5: Solve for x
    x = 62,982,301,887.56/175,624.50
  6. Step 6: Final answer
    x = 358,619.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.