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Finding the Third Proportional to 205,598 and 299,646

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Solution

The third proportional to 205,598 and 299,646 is: 436,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,598 : 299,646 = 299,646 : x
  2. Step 2: Convert to fraction form
    205,598/299,646 = 299,646/x
  3. Step 3: Cross multiply
    205,598x = 299,646 × 299,646
  4. Step 4: Simplify right side
    205,598x = 89,787,725,316
  5. Step 5: Solve for x
    x = 89,787,725,316/205,598
  6. Step 6: Final answer
    x = 436,714.97

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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.