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Finding the Third Proportional to 111,748 and 243,176

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Solution

The third proportional to 111,748 and 243,176 is: 529,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,748 : 243,176 = 243,176 : x
  2. Step 2: Convert to fraction form
    111,748/243,176 = 243,176/x
  3. Step 3: Cross multiply
    111,748x = 243,176 × 243,176
  4. Step 4: Simplify right side
    111,748x = 59,134,566,976
  5. Step 5: Solve for x
    x = 59,134,566,976/111,748
  6. Step 6: Final answer
    x = 529,177.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.