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Finding the Third Proportional to 137,349.56 and 285,225.19

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Solution

The third proportional to 137,349.56 and 285,225.19 is: 592,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,349.56 : 285,225.19 = 285,225.19 : x
  2. Step 2: Convert to fraction form
    137,349.56/285,225.19 = 285,225.19/x
  3. Step 3: Cross multiply
    137,349.56x = 285,225.19 × 285,225.19
  4. Step 4: Simplify right side
    137,349.56x = 81,353,407,584.41
  5. Step 5: Solve for x
    x = 81,353,407,584.41/137,349.56
  6. Step 6: Final answer
    x = 592,309.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.