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Finding the Third Proportional to 207,961 and 314,877

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Solution

The third proportional to 207,961 and 314,877 is: 476,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,961 : 314,877 = 314,877 : x
  2. Step 2: Convert to fraction form
    207,961/314,877 = 314,877/x
  3. Step 3: Cross multiply
    207,961x = 314,877 × 314,877
  4. Step 4: Simplify right side
    207,961x = 99,147,525,129
  5. Step 5: Solve for x
    x = 99,147,525,129/207,961
  6. Step 6: Final answer
    x = 476,760.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.