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Finding the Third Proportional to 147,564 and 204,943

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Solution

The third proportional to 147,564 and 204,943 is: 284,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,564 : 204,943 = 204,943 : x
  2. Step 2: Convert to fraction form
    147,564/204,943 = 204,943/x
  3. Step 3: Cross multiply
    147,564x = 204,943 × 204,943
  4. Step 4: Simplify right side
    147,564x = 42,001,633,249
  5. Step 5: Solve for x
    x = 42,001,633,249/147,564
  6. Step 6: Final answer
    x = 284,633.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.