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Finding the Third Proportional to 101,739.38 and 220,428

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Solution

The third proportional to 101,739.38 and 220,428 is: 477,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739.38 : 220,428 = 220,428 : x
  2. Step 2: Convert to fraction form
    101,739.38/220,428 = 220,428/x
  3. Step 3: Cross multiply
    101,739.38x = 220,428 × 220,428
  4. Step 4: Simplify right side
    101,739.38x = 48,588,503,184
  5. Step 5: Solve for x
    x = 48,588,503,184/101,739.38
  6. Step 6: Final answer
    x = 477,578.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.