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Finding the Third Proportional to 207,945 and 314,853

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Solution

The third proportional to 207,945 and 314,853 is: 476,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,945 : 314,853 = 314,853 : x
  2. Step 2: Convert to fraction form
    207,945/314,853 = 314,853/x
  3. Step 3: Cross multiply
    207,945x = 314,853 × 314,853
  4. Step 4: Simplify right side
    207,945x = 99,132,411,609
  5. Step 5: Solve for x
    x = 99,132,411,609/207,945
  6. Step 6: Final answer
    x = 476,724.19

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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.