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Finding the Third Proportional to 109,182 and 238,730

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Solution

The third proportional to 109,182 and 238,730 is: 521,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,182 : 238,730 = 238,730 : x
  2. Step 2: Convert to fraction form
    109,182/238,730 = 238,730/x
  3. Step 3: Cross multiply
    109,182x = 238,730 × 238,730
  4. Step 4: Simplify right side
    109,182x = 56,992,012,900
  5. Step 5: Solve for x
    x = 56,992,012,900/109,182
  6. Step 6: Final answer
    x = 521,990.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.