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Finding the Third Proportional to 112,980 and 243,472

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Solution

The third proportional to 112,980 and 243,472 is: 524,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,980 : 243,472 = 243,472 : x
  2. Step 2: Convert to fraction form
    112,980/243,472 = 243,472/x
  3. Step 3: Cross multiply
    112,980x = 243,472 × 243,472
  4. Step 4: Simplify right side
    112,980x = 59,278,614,784
  5. Step 5: Solve for x
    x = 59,278,614,784/112,980
  6. Step 6: Final answer
    x = 524,682.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.