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Finding the Third Proportional to 175,728 and 272,340

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Solution

The third proportional to 175,728 and 272,340 is: 422,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,728 : 272,340 = 272,340 : x
  2. Step 2: Convert to fraction form
    175,728/272,340 = 272,340/x
  3. Step 3: Cross multiply
    175,728x = 272,340 × 272,340
  4. Step 4: Simplify right side
    175,728x = 74,169,075,600
  5. Step 5: Solve for x
    x = 74,169,075,600/175,728
  6. Step 6: Final answer
    x = 422,067.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.