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Finding the Third Proportional to 207,252 and 314,925

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Solution

The third proportional to 207,252 and 314,925 is: 478,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 314,925 = 314,925 : x
  2. Step 2: Convert to fraction form
    207,252/314,925 = 314,925/x
  3. Step 3: Cross multiply
    207,252x = 314,925 × 314,925
  4. Step 4: Simplify right side
    207,252x = 99,177,755,625
  5. Step 5: Solve for x
    x = 99,177,755,625/207,252
  6. Step 6: Final answer
    x = 478,537.03

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