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Finding the Third Proportional to 141,534 and 220,914

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Solution

The third proportional to 141,534 and 220,914 is: 344,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,534 : 220,914 = 220,914 : x
  2. Step 2: Convert to fraction form
    141,534/220,914 = 220,914/x
  3. Step 3: Cross multiply
    141,534x = 220,914 × 220,914
  4. Step 4: Simplify right side
    141,534x = 48,802,995,396
  5. Step 5: Solve for x
    x = 48,802,995,396/141,534
  6. Step 6: Final answer
    x = 344,814.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.