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Finding the Third Proportional to 162,216 and 252,051.75

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Solution

The third proportional to 162,216 and 252,051.75 is: 391,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,216 : 252,051.75 = 252,051.75 : x
  2. Step 2: Convert to fraction form
    162,216/252,051.75 = 252,051.75/x
  3. Step 3: Cross multiply
    162,216x = 252,051.75 × 252,051.75
  4. Step 4: Simplify right side
    162,216x = 63,530,084,678.06
  5. Step 5: Solve for x
    x = 63,530,084,678.06/162,216
  6. Step 6: Final answer
    x = 391,638.83

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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.