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Finding the Third Proportional to 202,351 and 314,390

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Solution

The third proportional to 202,351 and 314,390 is: 488,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,351 : 314,390 = 314,390 : x
  2. Step 2: Convert to fraction form
    202,351/314,390 = 314,390/x
  3. Step 3: Cross multiply
    202,351x = 314,390 × 314,390
  4. Step 4: Simplify right side
    202,351x = 98,841,072,100
  5. Step 5: Solve for x
    x = 98,841,072,100/202,351
  6. Step 6: Final answer
    x = 488,463.47

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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.