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Finding the Third Proportional to 175,451.06 and 266,869.69

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Solution

The third proportional to 175,451.06 and 266,869.69 is: 405,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,451.06 : 266,869.69 = 266,869.69 : x
  2. Step 2: Convert to fraction form
    175,451.06/266,869.69 = 266,869.69/x
  3. Step 3: Cross multiply
    175,451.06x = 266,869.69 × 266,869.69
  4. Step 4: Simplify right side
    175,451.06x = 71,219,430,106.35
  5. Step 5: Solve for x
    x = 71,219,430,106.35/175,451.06
  6. Step 6: Final answer
    x = 405,921.91

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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.