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Finding the Third Proportional to 137,302.59 and 283,421.53

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Solution

The third proportional to 137,302.59 and 283,421.53 is: 585,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.59 : 283,421.53 = 283,421.53 : x
  2. Step 2: Convert to fraction form
    137,302.59/283,421.53 = 283,421.53/x
  3. Step 3: Cross multiply
    137,302.59x = 283,421.53 × 283,421.53
  4. Step 4: Simplify right side
    137,302.59x = 80,327,764,376.09
  5. Step 5: Solve for x
    x = 80,327,764,376.09/137,302.59
  6. Step 6: Final answer
    x = 585,041.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.