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Finding the Third Proportional to 74,374 and 163,442

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Solution

The third proportional to 74,374 and 163,442 is: 359,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,374 : 163,442 = 163,442 : x
  2. Step 2: Convert to fraction form
    74,374/163,442 = 163,442/x
  3. Step 3: Cross multiply
    74,374x = 163,442 × 163,442
  4. Step 4: Simplify right side
    74,374x = 26,713,287,364
  5. Step 5: Solve for x
    x = 26,713,287,364/74,374
  6. Step 6: Final answer
    x = 359,175.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.