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Finding the Third Proportional to 207,338 and 293,628

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Solution

The third proportional to 207,338 and 293,628 is: 415,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,338 : 293,628 = 293,628 : x
  2. Step 2: Convert to fraction form
    207,338/293,628 = 293,628/x
  3. Step 3: Cross multiply
    207,338x = 293,628 × 293,628
  4. Step 4: Simplify right side
    207,338x = 86,217,402,384
  5. Step 5: Solve for x
    x = 86,217,402,384/207,338
  6. Step 6: Final answer
    x = 415,830.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.