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Finding the Third Proportional to 157,106 and 332,410

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Solution

The third proportional to 157,106 and 332,410 is: 703,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,106 : 332,410 = 332,410 : x
  2. Step 2: Convert to fraction form
    157,106/332,410 = 332,410/x
  3. Step 3: Cross multiply
    157,106x = 332,410 × 332,410
  4. Step 4: Simplify right side
    157,106x = 110,496,408,100
  5. Step 5: Solve for x
    x = 110,496,408,100/157,106
  6. Step 6: Final answer
    x = 703,323.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.