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Finding the Third Proportional to 157,102 and 332,401

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Solution

The third proportional to 157,102 and 332,401 is: 703,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102 : 332,401 = 332,401 : x
  2. Step 2: Convert to fraction form
    157,102/332,401 = 332,401/x
  3. Step 3: Cross multiply
    157,102x = 332,401 × 332,401
  4. Step 4: Simplify right side
    157,102x = 110,490,424,801
  5. Step 5: Solve for x
    x = 110,490,424,801/157,102
  6. Step 6: Final answer
    x = 703,303.74

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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.