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Finding the Third Proportional to 165,752.25 and 254,920.50

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Solution

The third proportional to 165,752.25 and 254,920.50 is: 392,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752.25 : 254,920.50 = 254,920.50 : x
  2. Step 2: Convert to fraction form
    165,752.25/254,920.50 = 254,920.50/x
  3. Step 3: Cross multiply
    165,752.25x = 254,920.50 × 254,920.50
  4. Step 4: Simplify right side
    165,752.25x = 64,984,461,320.25
  5. Step 5: Solve for x
    x = 64,984,461,320.25/165,752.25
  6. Step 6: Final answer
    x = 392,057.79

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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.