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Finding the Third Proportional to 165,777 and 250,047

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Solution

The third proportional to 165,777 and 250,047 is: 377,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,777 : 250,047 = 250,047 : x
  2. Step 2: Convert to fraction form
    165,777/250,047 = 250,047/x
  3. Step 3: Cross multiply
    165,777x = 250,047 × 250,047
  4. Step 4: Simplify right side
    165,777x = 62,523,502,209
  5. Step 5: Solve for x
    x = 62,523,502,209/165,777
  6. Step 6: Final answer
    x = 377,154.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.