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Finding the Third Proportional to 193,022.25 and 278,460

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Solution

The third proportional to 193,022.25 and 278,460 is: 401,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,022.25 : 278,460 = 278,460 : x
  2. Step 2: Convert to fraction form
    193,022.25/278,460 = 278,460/x
  3. Step 3: Cross multiply
    193,022.25x = 278,460 × 278,460
  4. Step 4: Simplify right side
    193,022.25x = 77,539,971,600
  5. Step 5: Solve for x
    x = 77,539,971,600/193,022.25
  6. Step 6: Final answer
    x = 401,715.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.