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Finding the Third Proportional to 252,082.50 and 390,517.50

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Solution

The third proportional to 252,082.50 and 390,517.50 is: 604,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,082.50 : 390,517.50 = 390,517.50 : x
  2. Step 2: Convert to fraction form
    252,082.50/390,517.50 = 390,517.50/x
  3. Step 3: Cross multiply
    252,082.50x = 390,517.50 × 390,517.50
  4. Step 4: Simplify right side
    252,082.50x = 152,503,917,806.25
  5. Step 5: Solve for x
    x = 152,503,917,806.25/252,082.50
  6. Step 6: Final answer
    x = 604,976.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.