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Finding the Third Proportional to 153,564 and 332,278

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Solution

The third proportional to 153,564 and 332,278 is: 718,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,564 : 332,278 = 332,278 : x
  2. Step 2: Convert to fraction form
    153,564/332,278 = 332,278/x
  3. Step 3: Cross multiply
    153,564x = 332,278 × 332,278
  4. Step 4: Simplify right side
    153,564x = 110,408,669,284
  5. Step 5: Solve for x
    x = 110,408,669,284/153,564
  6. Step 6: Final answer
    x = 718,974.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.