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Finding the Third Proportional to 175,498.31 and 264,817.69

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Solution

The third proportional to 175,498.31 and 264,817.69 is: 399,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,498.31 : 264,817.69 = 264,817.69 : x
  2. Step 2: Convert to fraction form
    175,498.31/264,817.69 = 264,817.69/x
  3. Step 3: Cross multiply
    175,498.31x = 264,817.69 × 264,817.69
  4. Step 4: Simplify right side
    175,498.31x = 70,128,407,612.85
  5. Step 5: Solve for x
    x = 70,128,407,612.85/175,498.31
  6. Step 6: Final answer
    x = 399,595.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.