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Finding the Third Proportional to 137,784.38 and 295,251.75

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Solution

The third proportional to 137,784.38 and 295,251.75 is: 632,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,784.38 : 295,251.75 = 295,251.75 : x
  2. Step 2: Convert to fraction form
    137,784.38/295,251.75 = 295,251.75/x
  3. Step 3: Cross multiply
    137,784.38x = 295,251.75 × 295,251.75
  4. Step 4: Simplify right side
    137,784.38x = 87,173,595,878.06
  5. Step 5: Solve for x
    x = 87,173,595,878.06/137,784.38
  6. Step 6: Final answer
    x = 632,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.