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Finding the Third Proportional to 151,335.75 and 212,092.88

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Solution

The third proportional to 151,335.75 and 212,092.88 is: 297,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,335.75 : 212,092.88 = 212,092.88 : x
  2. Step 2: Convert to fraction form
    151,335.75/212,092.88 = 212,092.88/x
  3. Step 3: Cross multiply
    151,335.75x = 212,092.88 × 212,092.88
  4. Step 4: Simplify right side
    151,335.75x = 44,983,387,625.77
  5. Step 5: Solve for x
    x = 44,983,387,625.77/151,335.75
  6. Step 6: Final answer
    x = 297,242.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.