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Finding the Third Proportional to 162,774 and 252,008

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Solution

The third proportional to 162,774 and 252,008 is: 390,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,774 : 252,008 = 252,008 : x
  2. Step 2: Convert to fraction form
    162,774/252,008 = 252,008/x
  3. Step 3: Cross multiply
    162,774x = 252,008 × 252,008
  4. Step 4: Simplify right side
    162,774x = 63,508,032,064
  5. Step 5: Solve for x
    x = 63,508,032,064/162,774
  6. Step 6: Final answer
    x = 390,160.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.