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Finding the Third Proportional to 111,572 and 245,184

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Solution

The third proportional to 111,572 and 245,184 is: 538,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,572 : 245,184 = 245,184 : x
  2. Step 2: Convert to fraction form
    111,572/245,184 = 245,184/x
  3. Step 3: Cross multiply
    111,572x = 245,184 × 245,184
  4. Step 4: Simplify right side
    111,572x = 60,115,193,856
  5. Step 5: Solve for x
    x = 60,115,193,856/111,572
  6. Step 6: Final answer
    x = 538,801.79

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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.