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Finding the Third Proportional to 110,160 and 229,068

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Solution

The third proportional to 110,160 and 229,068 is: 476,326.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,160 : 229,068 = 229,068 : x
  2. Step 2: Convert to fraction form
    110,160/229,068 = 229,068/x
  3. Step 3: Cross multiply
    110,160x = 229,068 × 229,068
  4. Step 4: Simplify right side
    110,160x = 52,472,148,624
  5. Step 5: Solve for x
    x = 52,472,148,624/110,160
  6. Step 6: Final answer
    x = 476,326.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.