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Finding the Third Proportional to 231,742 and 310,386

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Solution

The third proportional to 231,742 and 310,386 is: 415,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,742 : 310,386 = 310,386 : x
  2. Step 2: Convert to fraction form
    231,742/310,386 = 310,386/x
  3. Step 3: Cross multiply
    231,742x = 310,386 × 310,386
  4. Step 4: Simplify right side
    231,742x = 96,339,468,996
  5. Step 5: Solve for x
    x = 96,339,468,996/231,742
  6. Step 6: Final answer
    x = 415,718.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.