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Finding the Third Proportional to 162,442 and 250,004

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Solution

The third proportional to 162,442 and 250,004 is: 384,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,442 : 250,004 = 250,004 : x
  2. Step 2: Convert to fraction form
    162,442/250,004 = 250,004/x
  3. Step 3: Cross multiply
    162,442x = 250,004 × 250,004
  4. Step 4: Simplify right side
    162,442x = 62,502,000,016
  5. Step 5: Solve for x
    x = 62,502,000,016/162,442
  6. Step 6: Final answer
    x = 384,765.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.