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Finding the Third Proportional to 215,470.50 and 458,175

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Solution

The third proportional to 215,470.50 and 458,175 is: 974,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,470.50 : 458,175 = 458,175 : x
  2. Step 2: Convert to fraction form
    215,470.50/458,175 = 458,175/x
  3. Step 3: Cross multiply
    215,470.50x = 458,175 × 458,175
  4. Step 4: Simplify right side
    215,470.50x = 209,924,330,625
  5. Step 5: Solve for x
    x = 209,924,330,625/215,470.50
  6. Step 6: Final answer
    x = 974,260.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.