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Finding the Third Proportional to 78,476 and 170,048

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Solution

The third proportional to 78,476 and 170,048 is: 368,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,476 : 170,048 = 170,048 : x
  2. Step 2: Convert to fraction form
    78,476/170,048 = 170,048/x
  3. Step 3: Cross multiply
    78,476x = 170,048 × 170,048
  4. Step 4: Simplify right side
    78,476x = 28,916,322,304
  5. Step 5: Solve for x
    x = 28,916,322,304/78,476
  6. Step 6: Final answer
    x = 368,473.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.