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Finding the Third Proportional to 205,632 and 300,726

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Solution

The third proportional to 205,632 and 300,726 is: 439,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,632 : 300,726 = 300,726 : x
  2. Step 2: Convert to fraction form
    205,632/300,726 = 300,726/x
  3. Step 3: Cross multiply
    205,632x = 300,726 × 300,726
  4. Step 4: Simplify right side
    205,632x = 90,436,127,076
  5. Step 5: Solve for x
    x = 90,436,127,076/205,632
  6. Step 6: Final answer
    x = 439,795.98

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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.