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Finding the Third Proportional to 175,472.58 and 278,927.93

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Solution

The third proportional to 175,472.58 and 278,927.93 is: 443,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,472.58 : 278,927.93 = 278,927.93 : x
  2. Step 2: Convert to fraction form
    175,472.58/278,927.93 = 278,927.93/x
  3. Step 3: Cross multiply
    175,472.58x = 278,927.93 × 278,927.93
  4. Step 4: Simplify right side
    175,472.58x = 77,800,789,959.76
  5. Step 5: Solve for x
    x = 77,800,789,959.76/175,472.58
  6. Step 6: Final answer
    x = 443,378.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.