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Finding the Third Proportional to 147,893 and 221,767

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Solution

The third proportional to 147,893 and 221,767 is: 332,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,893 : 221,767 = 221,767 : x
  2. Step 2: Convert to fraction form
    147,893/221,767 = 221,767/x
  3. Step 3: Cross multiply
    147,893x = 221,767 × 221,767
  4. Step 4: Simplify right side
    147,893x = 49,180,602,289
  5. Step 5: Solve for x
    x = 49,180,602,289/147,893
  6. Step 6: Final answer
    x = 332,541.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.