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Finding the Third Proportional to 111,460 and 240,685.75

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Solution

The third proportional to 111,460 and 240,685.75 is: 519,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,460 : 240,685.75 = 240,685.75 : x
  2. Step 2: Convert to fraction form
    111,460/240,685.75 = 240,685.75/x
  3. Step 3: Cross multiply
    111,460x = 240,685.75 × 240,685.75
  4. Step 4: Simplify right side
    111,460x = 57,929,630,253.06
  5. Step 5: Solve for x
    x = 57,929,630,253.06/111,460
  6. Step 6: Final answer
    x = 519,734.71

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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.