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Finding the Third Proportional to 187,746 and 290,532

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Solution

The third proportional to 187,746 and 290,532 is: 449,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,746 : 290,532 = 290,532 : x
  2. Step 2: Convert to fraction form
    187,746/290,532 = 290,532/x
  3. Step 3: Cross multiply
    187,746x = 290,532 × 290,532
  4. Step 4: Simplify right side
    187,746x = 84,408,843,024
  5. Step 5: Solve for x
    x = 84,408,843,024/187,746
  6. Step 6: Final answer
    x = 449,590.63

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Why These Related Problems?

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