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Finding the Third Proportional to 162,769.50 and 252,002.25

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Solution

The third proportional to 162,769.50 and 252,002.25 is: 390,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,769.50 : 252,002.25 = 252,002.25 : x
  2. Step 2: Convert to fraction form
    162,769.50/252,002.25 = 252,002.25/x
  3. Step 3: Cross multiply
    162,769.50x = 252,002.25 × 252,002.25
  4. Step 4: Simplify right side
    162,769.50x = 63,505,134,005.06
  5. Step 5: Solve for x
    x = 63,505,134,005.06/162,769.50
  6. Step 6: Final answer
    x = 390,153.77

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