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Finding the Third Proportional to 295,233.50 and 416,035

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Solution

The third proportional to 295,233.50 and 416,035 is: 586,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,233.50 : 416,035 = 416,035 : x
  2. Step 2: Convert to fraction form
    295,233.50/416,035 = 416,035/x
  3. Step 3: Cross multiply
    295,233.50x = 416,035 × 416,035
  4. Step 4: Simplify right side
    295,233.50x = 173,085,121,225
  5. Step 5: Solve for x
    x = 173,085,121,225/295,233.50
  6. Step 6: Final answer
    x = 586,265.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.