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Finding the Third Proportional to 138,234 and 296,124

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Solution

The third proportional to 138,234 and 296,124 is: 634,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,234 : 296,124 = 296,124 : x
  2. Step 2: Convert to fraction form
    138,234/296,124 = 296,124/x
  3. Step 3: Cross multiply
    138,234x = 296,124 × 296,124
  4. Step 4: Simplify right side
    138,234x = 87,689,423,376
  5. Step 5: Solve for x
    x = 87,689,423,376/138,234
  6. Step 6: Final answer
    x = 634,354.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.