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Finding the Third Proportional to 165,818.25 and 355,294.50

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Solution

The third proportional to 165,818.25 and 355,294.50 is: 761,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,818.25 : 355,294.50 = 355,294.50 : x
  2. Step 2: Convert to fraction form
    165,818.25/355,294.50 = 355,294.50/x
  3. Step 3: Cross multiply
    165,818.25x = 355,294.50 × 355,294.50
  4. Step 4: Simplify right side
    165,818.25x = 126,234,181,730.25
  5. Step 5: Solve for x
    x = 126,234,181,730.25/165,818.25
  6. Step 6: Final answer
    x = 761,280.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.