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Finding the Third Proportional to 155,310 and 332,754

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Solution

The third proportional to 155,310 and 332,754 is: 712,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,310 : 332,754 = 332,754 : x
  2. Step 2: Convert to fraction form
    155,310/332,754 = 332,754/x
  3. Step 3: Cross multiply
    155,310x = 332,754 × 332,754
  4. Step 4: Simplify right side
    155,310x = 110,725,224,516
  5. Step 5: Solve for x
    x = 110,725,224,516/155,310
  6. Step 6: Final answer
    x = 712,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.