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Finding the Third Proportional to 74,179 and 160,292

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Solution

The third proportional to 74,179 and 160,292 is: 346,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,179 : 160,292 = 160,292 : x
  2. Step 2: Convert to fraction form
    74,179/160,292 = 160,292/x
  3. Step 3: Cross multiply
    74,179x = 160,292 × 160,292
  4. Step 4: Simplify right side
    74,179x = 25,693,525,264
  5. Step 5: Solve for x
    x = 25,693,525,264/74,179
  6. Step 6: Final answer
    x = 346,371.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.