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Finding the Third Proportional to 153,192 and 334,832

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Solution

The third proportional to 153,192 and 334,832 is: 731,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,192 : 334,832 = 334,832 : x
  2. Step 2: Convert to fraction form
    153,192/334,832 = 334,832/x
  3. Step 3: Cross multiply
    153,192x = 334,832 × 334,832
  4. Step 4: Simplify right side
    153,192x = 112,112,468,224
  5. Step 5: Solve for x
    x = 112,112,468,224/153,192
  6. Step 6: Final answer
    x = 731,842.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.