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Finding the Third Proportional to 252,585.75 and 392,197.50

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Solution

The third proportional to 252,585.75 and 392,197.50 is: 608,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,585.75 : 392,197.50 = 392,197.50 : x
  2. Step 2: Convert to fraction form
    252,585.75/392,197.50 = 392,197.50/x
  3. Step 3: Cross multiply
    252,585.75x = 392,197.50 × 392,197.50
  4. Step 4: Simplify right side
    252,585.75x = 153,818,879,006.25
  5. Step 5: Solve for x
    x = 153,818,879,006.25/252,585.75
  6. Step 6: Final answer
    x = 608,976.87

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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.