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Finding the Third Proportional to 230,197.50 and 348,850.13

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Solution

The third proportional to 230,197.50 and 348,850.13 is: 528,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,197.50 : 348,850.13 = 348,850.13 : x
  2. Step 2: Convert to fraction form
    230,197.50/348,850.13 = 348,850.13/x
  3. Step 3: Cross multiply
    230,197.50x = 348,850.13 × 348,850.13
  4. Step 4: Simplify right side
    230,197.50x = 121,696,409,712.52
  5. Step 5: Solve for x
    x = 121,696,409,712.52/230,197.50
  6. Step 6: Final answer
    x = 528,660.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.