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Finding the Third Proportional to 207,548 and 313,226

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Solution

The third proportional to 207,548 and 313,226 is: 472,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,548 : 313,226 = 313,226 : x
  2. Step 2: Convert to fraction form
    207,548/313,226 = 313,226/x
  3. Step 3: Cross multiply
    207,548x = 313,226 × 313,226
  4. Step 4: Simplify right side
    207,548x = 98,110,527,076
  5. Step 5: Solve for x
    x = 98,110,527,076/207,548
  6. Step 6: Final answer
    x = 472,712.47

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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.