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Finding the Third Proportional to 74,314 and 160,471

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Solution

The third proportional to 74,314 and 160,471 is: 346,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,314 : 160,471 = 160,471 : x
  2. Step 2: Convert to fraction form
    74,314/160,471 = 160,471/x
  3. Step 3: Cross multiply
    74,314x = 160,471 × 160,471
  4. Step 4: Simplify right side
    74,314x = 25,750,941,841
  5. Step 5: Solve for x
    x = 25,750,941,841/74,314
  6. Step 6: Final answer
    x = 346,515.35

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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.