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Finding the Third Proportional to 135,730.69 and 289,487.04

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Solution

The third proportional to 135,730.69 and 289,487.04 is: 617,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,730.69 : 289,487.04 = 289,487.04 : x
  2. Step 2: Convert to fraction form
    135,730.69/289,487.04 = 289,487.04/x
  3. Step 3: Cross multiply
    135,730.69x = 289,487.04 × 289,487.04
  4. Step 4: Simplify right side
    135,730.69x = 83,802,745,785.17
  5. Step 5: Solve for x
    x = 83,802,745,785.17/135,730.69
  6. Step 6: Final answer
    x = 617,419.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.