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Finding the Third Proportional to 135,930 and 316,035

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Solution

The third proportional to 135,930 and 316,035 is: 734,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930 : 316,035 = 316,035 : x
  2. Step 2: Convert to fraction form
    135,930/316,035 = 316,035/x
  3. Step 3: Cross multiply
    135,930x = 316,035 × 316,035
  4. Step 4: Simplify right side
    135,930x = 99,878,121,225
  5. Step 5: Solve for x
    x = 99,878,121,225/135,930
  6. Step 6: Final answer
    x = 734,776.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.