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Finding the Third Proportional to 137,302.59 and 297,441.28

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Solution

The third proportional to 137,302.59 and 297,441.28 is: 644,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.59 : 297,441.28 = 297,441.28 : x
  2. Step 2: Convert to fraction form
    137,302.59/297,441.28 = 297,441.28/x
  3. Step 3: Cross multiply
    137,302.59x = 297,441.28 × 297,441.28
  4. Step 4: Simplify right side
    137,302.59x = 88,471,315,791.64
  5. Step 5: Solve for x
    x = 88,471,315,791.64/137,302.59
  6. Step 6: Final answer
    x = 644,352.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.