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Finding the Third Proportional to 111,709.13 and 243,491.06

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Solution

The third proportional to 111,709.13 and 243,491.06 is: 530,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709.13 : 243,491.06 = 243,491.06 : x
  2. Step 2: Convert to fraction form
    111,709.13/243,491.06 = 243,491.06/x
  3. Step 3: Cross multiply
    111,709.13x = 243,491.06 × 243,491.06
  4. Step 4: Simplify right side
    111,709.13x = 59,287,897,517.38
  5. Step 5: Solve for x
    x = 59,287,897,517.38/111,709.13
  6. Step 6: Final answer
    x = 530,734.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.