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Finding the Third Proportional to 207,929.75 and 313,373

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Solution

The third proportional to 207,929.75 and 313,373 is: 472,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,929.75 : 313,373 = 313,373 : x
  2. Step 2: Convert to fraction form
    207,929.75/313,373 = 313,373/x
  3. Step 3: Cross multiply
    207,929.75x = 313,373 × 313,373
  4. Step 4: Simplify right side
    207,929.75x = 98,202,637,129
  5. Step 5: Solve for x
    x = 98,202,637,129/207,929.75
  6. Step 6: Final answer
    x = 472,287.57

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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.