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Finding the Third Proportional to 185,220.11 and 279,291.01

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Solution

The third proportional to 185,220.11 and 279,291.01 is: 421,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,220.11 : 279,291.01 = 279,291.01 : x
  2. Step 2: Convert to fraction form
    185,220.11/279,291.01 = 279,291.01/x
  3. Step 3: Cross multiply
    185,220.11x = 279,291.01 × 279,291.01
  4. Step 4: Simplify right side
    185,220.11x = 78,003,465,953.94
  5. Step 5: Solve for x
    x = 78,003,465,953.94/185,220.11
  6. Step 6: Final answer
    x = 421,139.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.