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Finding the Third Proportional to 97,781.50 and 235,482

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Solution

The third proportional to 97,781.50 and 235,482 is: 567,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,781.50 : 235,482 = 235,482 : x
  2. Step 2: Convert to fraction form
    97,781.50/235,482 = 235,482/x
  3. Step 3: Cross multiply
    97,781.50x = 235,482 × 235,482
  4. Step 4: Simplify right side
    97,781.50x = 55,451,772,324
  5. Step 5: Solve for x
    x = 55,451,772,324/97,781.50
  6. Step 6: Final answer
    x = 567,098.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.