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Finding the Third Proportional to 162,777 and 252,013

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Solution

The third proportional to 162,777 and 252,013 is: 390,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,777 : 252,013 = 252,013 : x
  2. Step 2: Convert to fraction form
    162,777/252,013 = 252,013/x
  3. Step 3: Cross multiply
    162,777x = 252,013 × 252,013
  4. Step 4: Simplify right side
    162,777x = 63,510,552,169
  5. Step 5: Solve for x
    x = 63,510,552,169/162,777
  6. Step 6: Final answer
    x = 390,169.08

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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.