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Finding the Third Proportional to 134,588.25 and 283,118.63

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Solution

The third proportional to 134,588.25 and 283,118.63 is: 595,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,588.25 : 283,118.63 = 283,118.63 : x
  2. Step 2: Convert to fraction form
    134,588.25/283,118.63 = 283,118.63/x
  3. Step 3: Cross multiply
    134,588.25x = 283,118.63 × 283,118.63
  4. Step 4: Simplify right side
    134,588.25x = 80,156,155,821.89
  5. Step 5: Solve for x
    x = 80,156,155,821.89/134,588.25
  6. Step 6: Final answer
    x = 595,565.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.