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Finding the Third Proportional to 151,374 and 205,668.75

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Solution

The third proportional to 151,374 and 205,668.75 is: 279,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,374 : 205,668.75 = 205,668.75 : x
  2. Step 2: Convert to fraction form
    151,374/205,668.75 = 205,668.75/x
  3. Step 3: Cross multiply
    151,374x = 205,668.75 × 205,668.75
  4. Step 4: Simplify right side
    151,374x = 42,299,634,726.56
  5. Step 5: Solve for x
    x = 42,299,634,726.56/151,374
  6. Step 6: Final answer
    x = 279,437.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.