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Finding the Third Proportional to 272,188 and 355,792

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Solution

The third proportional to 272,188 and 355,792 is: 465,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,188 : 355,792 = 355,792 : x
  2. Step 2: Convert to fraction form
    272,188/355,792 = 355,792/x
  3. Step 3: Cross multiply
    272,188x = 355,792 × 355,792
  4. Step 4: Simplify right side
    272,188x = 126,587,947,264
  5. Step 5: Solve for x
    x = 126,587,947,264/272,188
  6. Step 6: Final answer
    x = 465,075.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.