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Finding the Third Proportional to 162,444 and 251,043

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Solution

The third proportional to 162,444 and 251,043 is: 387,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,444 : 251,043 = 251,043 : x
  2. Step 2: Convert to fraction form
    162,444/251,043 = 251,043/x
  3. Step 3: Cross multiply
    162,444x = 251,043 × 251,043
  4. Step 4: Simplify right side
    162,444x = 63,022,587,849
  5. Step 5: Solve for x
    x = 63,022,587,849/162,444
  6. Step 6: Final answer
    x = 387,965.01

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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.