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Finding the Third Proportional to 205,588 and 299,632

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Solution

The third proportional to 205,588 and 299,632 is: 436,695.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,588 : 299,632 = 299,632 : x
  2. Step 2: Convert to fraction form
    205,588/299,632 = 299,632/x
  3. Step 3: Cross multiply
    205,588x = 299,632 × 299,632
  4. Step 4: Simplify right side
    205,588x = 89,779,335,424
  5. Step 5: Solve for x
    x = 89,779,335,424/205,588
  6. Step 6: Final answer
    x = 436,695.41

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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.