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Finding the Third Proportional to 156,792 and 343,056

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Solution

The third proportional to 156,792 and 343,056 is: 750,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,792 : 343,056 = 343,056 : x
  2. Step 2: Convert to fraction form
    156,792/343,056 = 343,056/x
  3. Step 3: Cross multiply
    156,792x = 343,056 × 343,056
  4. Step 4: Simplify right side
    156,792x = 117,687,419,136
  5. Step 5: Solve for x
    x = 117,687,419,136/156,792
  6. Step 6: Final answer
    x = 750,595.82

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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.