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Finding the Third Proportional to 109,674 and 239,422.50

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Solution

The third proportional to 109,674 and 239,422.50 is: 522,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,674 : 239,422.50 = 239,422.50 : x
  2. Step 2: Convert to fraction form
    109,674/239,422.50 = 239,422.50/x
  3. Step 3: Cross multiply
    109,674x = 239,422.50 × 239,422.50
  4. Step 4: Simplify right side
    109,674x = 57,323,133,506.25
  5. Step 5: Solve for x
    x = 57,323,133,506.25/109,674
  6. Step 6: Final answer
    x = 522,668.39

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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.