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Finding the Third Proportional to 75,240 and 160,488

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Solution

The third proportional to 75,240 and 160,488 is: 342,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,240 : 160,488 = 160,488 : x
  2. Step 2: Convert to fraction form
    75,240/160,488 = 160,488/x
  3. Step 3: Cross multiply
    75,240x = 160,488 × 160,488
  4. Step 4: Simplify right side
    75,240x = 25,756,398,144
  5. Step 5: Solve for x
    x = 25,756,398,144/75,240
  6. Step 6: Final answer
    x = 342,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.