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Finding the Third Proportional to 205,592 and 299,637

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Solution

The third proportional to 205,592 and 299,637 is: 436,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592 : 299,637 = 299,637 : x
  2. Step 2: Convert to fraction form
    205,592/299,637 = 299,637/x
  3. Step 3: Cross multiply
    205,592x = 299,637 × 299,637
  4. Step 4: Simplify right side
    205,592x = 89,782,331,769
  5. Step 5: Solve for x
    x = 89,782,331,769/205,592
  6. Step 6: Final answer
    x = 436,701.49

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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.