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Finding the Third Proportional to 187,408 and 297,796

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Solution

The third proportional to 187,408 and 297,796 is: 473,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408 : 297,796 = 297,796 : x
  2. Step 2: Convert to fraction form
    187,408/297,796 = 297,796/x
  3. Step 3: Cross multiply
    187,408x = 297,796 × 297,796
  4. Step 4: Simplify right side
    187,408x = 88,682,457,616
  5. Step 5: Solve for x
    x = 88,682,457,616/187,408
  6. Step 6: Final answer
    x = 473,205.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.