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Finding the Third Proportional to 187,182 and 290,925

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Solution

The third proportional to 187,182 and 290,925 is: 452,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,182 : 290,925 = 290,925 : x
  2. Step 2: Convert to fraction form
    187,182/290,925 = 290,925/x
  3. Step 3: Cross multiply
    187,182x = 290,925 × 290,925
  4. Step 4: Simplify right side
    187,182x = 84,637,355,625
  5. Step 5: Solve for x
    x = 84,637,355,625/187,182
  6. Step 6: Final answer
    x = 452,166.10

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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.