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Finding the Third Proportional to 112,342 and 238,538

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Solution

The third proportional to 112,342 and 238,538 is: 506,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,342 : 238,538 = 238,538 : x
  2. Step 2: Convert to fraction form
    112,342/238,538 = 238,538/x
  3. Step 3: Cross multiply
    112,342x = 238,538 × 238,538
  4. Step 4: Simplify right side
    112,342x = 56,900,377,444
  5. Step 5: Solve for x
    x = 56,900,377,444/112,342
  6. Step 6: Final answer
    x = 506,492.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.