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Finding the Third Proportional to 195,651 and 297,588

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Solution

The third proportional to 195,651 and 297,588 is: 452,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,651 : 297,588 = 297,588 : x
  2. Step 2: Convert to fraction form
    195,651/297,588 = 297,588/x
  3. Step 3: Cross multiply
    195,651x = 297,588 × 297,588
  4. Step 4: Simplify right side
    195,651x = 88,558,617,744
  5. Step 5: Solve for x
    x = 88,558,617,744/195,651
  6. Step 6: Final answer
    x = 452,635.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.