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Finding the Third Proportional to 135,700.88 and 289,436.13

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Solution

The third proportional to 135,700.88 and 289,436.13 is: 617,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,700.88 : 289,436.13 = 289,436.13 : x
  2. Step 2: Convert to fraction form
    135,700.88/289,436.13 = 289,436.13/x
  3. Step 3: Cross multiply
    135,700.88x = 289,436.13 × 289,436.13
  4. Step 4: Simplify right side
    135,700.88x = 83,773,270,455.02
  5. Step 5: Solve for x
    x = 83,773,270,455.02/135,700.88
  6. Step 6: Final answer
    x = 617,337.73

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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.