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Finding the Third Proportional to 135,001.69 and 318,276.84

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Solution

The third proportional to 135,001.69 and 318,276.84 is: 750,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,001.69 : 318,276.84 = 318,276.84 : x
  2. Step 2: Convert to fraction form
    135,001.69/318,276.84 = 318,276.84/x
  3. Step 3: Cross multiply
    135,001.69x = 318,276.84 × 318,276.84
  4. Step 4: Simplify right side
    135,001.69x = 101,300,149,267.46
  5. Step 5: Solve for x
    x = 101,300,149,267.46/135,001.69
  6. Step 6: Final answer
    x = 750,362.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.