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Finding the Third Proportional to 112,522 and 241,732

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Solution

The third proportional to 112,522 and 241,732 is: 519,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,522 : 241,732 = 241,732 : x
  2. Step 2: Convert to fraction form
    112,522/241,732 = 241,732/x
  3. Step 3: Cross multiply
    112,522x = 241,732 × 241,732
  4. Step 4: Simplify right side
    112,522x = 58,434,359,824
  5. Step 5: Solve for x
    x = 58,434,359,824/112,522
  6. Step 6: Final answer
    x = 519,314.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.