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Finding the Third Proportional to 201,552 and 297,714

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Solution

The third proportional to 201,552 and 297,714 is: 439,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,552 : 297,714 = 297,714 : x
  2. Step 2: Convert to fraction form
    201,552/297,714 = 297,714/x
  3. Step 3: Cross multiply
    201,552x = 297,714 × 297,714
  4. Step 4: Simplify right side
    201,552x = 88,633,625,796
  5. Step 5: Solve for x
    x = 88,633,625,796/201,552
  6. Step 6: Final answer
    x = 439,755.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.