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Finding the Third Proportional to 112,340 and 238,534

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Solution

The third proportional to 112,340 and 238,534 is: 506,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,340 : 238,534 = 238,534 : x
  2. Step 2: Convert to fraction form
    112,340/238,534 = 238,534/x
  3. Step 3: Cross multiply
    112,340x = 238,534 × 238,534
  4. Step 4: Simplify right side
    112,340x = 56,898,469,156
  5. Step 5: Solve for x
    x = 56,898,469,156/112,340
  6. Step 6: Final answer
    x = 506,484.50

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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.