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Finding the Third Proportional to 78,398 and 170,784

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Solution

The third proportional to 78,398 and 170,784 is: 372,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398 : 170,784 = 170,784 : x
  2. Step 2: Convert to fraction form
    78,398/170,784 = 170,784/x
  3. Step 3: Cross multiply
    78,398x = 170,784 × 170,784
  4. Step 4: Simplify right side
    78,398x = 29,167,174,656
  5. Step 5: Solve for x
    x = 29,167,174,656/78,398
  6. Step 6: Final answer
    x = 372,039.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.