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Finding the Third Proportional to 175,363 and 282,410

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Solution

The third proportional to 175,363 and 282,410 is: 454,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,363 : 282,410 = 282,410 : x
  2. Step 2: Convert to fraction form
    175,363/282,410 = 282,410/x
  3. Step 3: Cross multiply
    175,363x = 282,410 × 282,410
  4. Step 4: Simplify right side
    175,363x = 79,755,408,100
  5. Step 5: Solve for x
    x = 79,755,408,100/175,363
  6. Step 6: Final answer
    x = 454,801.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.