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Finding the Third Proportional to 205,596 and 299,643

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Solution

The third proportional to 205,596 and 299,643 is: 436,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 299,643 = 299,643 : x
  2. Step 2: Convert to fraction form
    205,596/299,643 = 299,643/x
  3. Step 3: Cross multiply
    205,596x = 299,643 × 299,643
  4. Step 4: Simplify right side
    205,596x = 89,785,927,449
  5. Step 5: Solve for x
    x = 89,785,927,449/205,596
  6. Step 6: Final answer
    x = 436,710.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.