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Finding the Third Proportional to 207,935 and 313,382

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Solution

The third proportional to 207,935 and 313,382 is: 472,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,935 : 313,382 = 313,382 : x
  2. Step 2: Convert to fraction form
    207,935/313,382 = 313,382/x
  3. Step 3: Cross multiply
    207,935x = 313,382 × 313,382
  4. Step 4: Simplify right side
    207,935x = 98,208,277,924
  5. Step 5: Solve for x
    x = 98,208,277,924/207,935
  6. Step 6: Final answer
    x = 472,302.78

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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.