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Finding the Third Proportional to 251,164.13 and 377,308.13

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Solution

The third proportional to 251,164.13 and 377,308.13 is: 566,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,164.13 : 377,308.13 = 377,308.13 : x
  2. Step 2: Convert to fraction form
    251,164.13/377,308.13 = 377,308.13/x
  3. Step 3: Cross multiply
    251,164.13x = 377,308.13 × 377,308.13
  4. Step 4: Simplify right side
    251,164.13x = 142,361,421,191.02
  5. Step 5: Solve for x
    x = 142,361,421,191.02/251,164.13
  6. Step 6: Final answer
    x = 566,806.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.