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Finding the Third Proportional to 175,968.07 and 271,358.86

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Solution

The third proportional to 175,968.07 and 271,358.86 is: 418,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,968.07 : 271,358.86 = 271,358.86 : x
  2. Step 2: Convert to fraction form
    175,968.07/271,358.86 = 271,358.86/x
  3. Step 3: Cross multiply
    175,968.07x = 271,358.86 × 271,358.86
  4. Step 4: Simplify right side
    175,968.07x = 73,635,630,561.30
  5. Step 5: Solve for x
    x = 73,635,630,561.30/175,968.07
  6. Step 6: Final answer
    x = 418,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.