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Finding the Third Proportional to 74,332 and 158,269

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Solution

The third proportional to 74,332 and 158,269 is: 336,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,332 : 158,269 = 158,269 : x
  2. Step 2: Convert to fraction form
    74,332/158,269 = 158,269/x
  3. Step 3: Cross multiply
    74,332x = 158,269 × 158,269
  4. Step 4: Simplify right side
    74,332x = 25,049,076,361
  5. Step 5: Solve for x
    x = 25,049,076,361/74,332
  6. Step 6: Final answer
    x = 336,989.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.