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Finding the Third Proportional to 156,911 and 342,981

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Solution

The third proportional to 156,911 and 342,981 is: 749,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,911 : 342,981 = 342,981 : x
  2. Step 2: Convert to fraction form
    156,911/342,981 = 342,981/x
  3. Step 3: Cross multiply
    156,911x = 342,981 × 342,981
  4. Step 4: Simplify right side
    156,911x = 117,635,966,361
  5. Step 5: Solve for x
    x = 117,635,966,361/156,911
  6. Step 6: Final answer
    x = 749,698.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.