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Finding the Third Proportional to 187,408 and 289,871

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Solution

The third proportional to 187,408 and 289,871 is: 448,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408 : 289,871 = 289,871 : x
  2. Step 2: Convert to fraction form
    187,408/289,871 = 289,871/x
  3. Step 3: Cross multiply
    187,408x = 289,871 × 289,871
  4. Step 4: Simplify right side
    187,408x = 84,025,196,641
  5. Step 5: Solve for x
    x = 84,025,196,641/187,408
  6. Step 6: Final answer
    x = 448,354.37

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