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Finding the Third Proportional to 161,574 and 352,524

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Solution

The third proportional to 161,574 and 352,524 is: 769,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,574 : 352,524 = 352,524 : x
  2. Step 2: Convert to fraction form
    161,574/352,524 = 352,524/x
  3. Step 3: Cross multiply
    161,574x = 352,524 × 352,524
  4. Step 4: Simplify right side
    161,574x = 124,273,170,576
  5. Step 5: Solve for x
    x = 124,273,170,576/161,574
  6. Step 6: Final answer
    x = 769,140.89

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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.