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Finding the Third Proportional to 205,882 and 299,440

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Solution

The third proportional to 205,882 and 299,440 is: 435,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,882 : 299,440 = 299,440 : x
  2. Step 2: Convert to fraction form
    205,882/299,440 = 299,440/x
  3. Step 3: Cross multiply
    205,882x = 299,440 × 299,440
  4. Step 4: Simplify right side
    205,882x = 89,664,313,600
  5. Step 5: Solve for x
    x = 89,664,313,600/205,882
  6. Step 6: Final answer
    x = 435,513.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.