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Finding the Third Proportional to 134,561.25 and 283,064.63

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Solution

The third proportional to 134,561.25 and 283,064.63 is: 595,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,561.25 : 283,064.63 = 283,064.63 : x
  2. Step 2: Convert to fraction form
    134,561.25/283,064.63 = 283,064.63/x
  3. Step 3: Cross multiply
    134,561.25x = 283,064.63 × 283,064.63
  4. Step 4: Simplify right side
    134,561.25x = 80,125,581,926.39
  5. Step 5: Solve for x
    x = 80,125,581,926.39/134,561.25
  6. Step 6: Final answer
    x = 595,458.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.