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Finding the Third Proportional to 252,110.25 and 390,390.75

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Solution

The third proportional to 252,110.25 and 390,390.75 is: 604,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,110.25 : 390,390.75 = 390,390.75 : x
  2. Step 2: Convert to fraction form
    252,110.25/390,390.75 = 390,390.75/x
  3. Step 3: Cross multiply
    252,110.25x = 390,390.75 × 390,390.75
  4. Step 4: Simplify right side
    252,110.25x = 152,404,937,685.56
  5. Step 5: Solve for x
    x = 152,404,937,685.56/252,110.25
  6. Step 6: Final answer
    x = 604,517.02

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