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Finding the Third Proportional to 111,582 and 245,277

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Solution

The third proportional to 111,582 and 245,277 is: 539,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582 : 245,277 = 245,277 : x
  2. Step 2: Convert to fraction form
    111,582/245,277 = 245,277/x
  3. Step 3: Cross multiply
    111,582x = 245,277 × 245,277
  4. Step 4: Simplify right side
    111,582x = 60,160,806,729
  5. Step 5: Solve for x
    x = 60,160,806,729/111,582
  6. Step 6: Final answer
    x = 539,162.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.