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Finding the Third Proportional to 165,096 and 250,776

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Solution

The third proportional to 165,096 and 250,776 is: 380,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,096 : 250,776 = 250,776 : x
  2. Step 2: Convert to fraction form
    165,096/250,776 = 250,776/x
  3. Step 3: Cross multiply
    165,096x = 250,776 × 250,776
  4. Step 4: Simplify right side
    165,096x = 62,888,602,176
  5. Step 5: Solve for x
    x = 62,888,602,176/165,096
  6. Step 6: Final answer
    x = 380,921.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.