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Finding the Third Proportional to 153,532 and 234,012

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Solution

The third proportional to 153,532 and 234,012 is: 356,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,532 : 234,012 = 234,012 : x
  2. Step 2: Convert to fraction form
    153,532/234,012 = 234,012/x
  3. Step 3: Cross multiply
    153,532x = 234,012 × 234,012
  4. Step 4: Simplify right side
    153,532x = 54,761,616,144
  5. Step 5: Solve for x
    x = 54,761,616,144/153,532
  6. Step 6: Final answer
    x = 356,678.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.