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Finding the Third Proportional to 252,699.75 and 369,166.50

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Solution

The third proportional to 252,699.75 and 369,166.50 is: 539,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,699.75 : 369,166.50 = 369,166.50 : x
  2. Step 2: Convert to fraction form
    252,699.75/369,166.50 = 369,166.50/x
  3. Step 3: Cross multiply
    252,699.75x = 369,166.50 × 369,166.50
  4. Step 4: Simplify right side
    252,699.75x = 136,283,904,722.25
  5. Step 5: Solve for x
    x = 136,283,904,722.25/252,699.75
  6. Step 6: Final answer
    x = 539,311.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.