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Finding the Third Proportional to 240,097.50 and 524,475

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Solution

The third proportional to 240,097.50 and 524,475 is: 1,145,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,097.50 : 524,475 = 524,475 : x
  2. Step 2: Convert to fraction form
    240,097.50/524,475 = 524,475/x
  3. Step 3: Cross multiply
    240,097.50x = 524,475 × 524,475
  4. Step 4: Simplify right side
    240,097.50x = 275,074,025,625
  5. Step 5: Solve for x
    x = 275,074,025,625/240,097.50
  6. Step 6: Final answer
    x = 1,145,676.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.