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Finding the Third Proportional to 153,474 and 233,411

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Solution

The third proportional to 153,474 and 233,411 is: 354,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,474 : 233,411 = 233,411 : x
  2. Step 2: Convert to fraction form
    153,474/233,411 = 233,411/x
  3. Step 3: Cross multiply
    153,474x = 233,411 × 233,411
  4. Step 4: Simplify right side
    153,474x = 54,480,694,921
  5. Step 5: Solve for x
    x = 54,480,694,921/153,474
  6. Step 6: Final answer
    x = 354,983.22

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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.