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Finding the Third Proportional to 231,738 and 310,382

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Solution

The third proportional to 231,738 and 310,382 is: 415,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,738 : 310,382 = 310,382 : x
  2. Step 2: Convert to fraction form
    231,738/310,382 = 310,382/x
  3. Step 3: Cross multiply
    231,738x = 310,382 × 310,382
  4. Step 4: Simplify right side
    231,738x = 96,336,985,924
  5. Step 5: Solve for x
    x = 96,336,985,924/231,738
  6. Step 6: Final answer
    x = 415,715.10

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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.