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Finding the Third Proportional to 135,423.14 and 291,656.95

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Solution

The third proportional to 135,423.14 and 291,656.95 is: 628,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,423.14 : 291,656.95 = 291,656.95 : x
  2. Step 2: Convert to fraction form
    135,423.14/291,656.95 = 291,656.95/x
  3. Step 3: Cross multiply
    135,423.14x = 291,656.95 × 291,656.95
  4. Step 4: Simplify right side
    135,423.14x = 85,063,778,306.16
  5. Step 5: Solve for x
    x = 85,063,778,306.16/135,423.14
  6. Step 6: Final answer
    x = 628,133.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.