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Finding the Third Proportional to 147,344 and 234,328

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Solution

The third proportional to 147,344 and 234,328 is: 372,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,344 : 234,328 = 234,328 : x
  2. Step 2: Convert to fraction form
    147,344/234,328 = 234,328/x
  3. Step 3: Cross multiply
    147,344x = 234,328 × 234,328
  4. Step 4: Simplify right side
    147,344x = 54,909,611,584
  5. Step 5: Solve for x
    x = 54,909,611,584/147,344
  6. Step 6: Final answer
    x = 372,662.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.