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Finding the Third Proportional to 105,482 and 231,700

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Solution

The third proportional to 105,482 and 231,700 is: 508,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482 : 231,700 = 231,700 : x
  2. Step 2: Convert to fraction form
    105,482/231,700 = 231,700/x
  3. Step 3: Cross multiply
    105,482x = 231,700 × 231,700
  4. Step 4: Simplify right side
    105,482x = 53,684,890,000
  5. Step 5: Solve for x
    x = 53,684,890,000/105,482
  6. Step 6: Final answer
    x = 508,948.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.