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Finding the Third Proportional to 154,976 and 341,056

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Solution

The third proportional to 154,976 and 341,056 is: 750,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,976 : 341,056 = 341,056 : x
  2. Step 2: Convert to fraction form
    154,976/341,056 = 341,056/x
  3. Step 3: Cross multiply
    154,976x = 341,056 × 341,056
  4. Step 4: Simplify right side
    154,976x = 116,319,195,136
  5. Step 5: Solve for x
    x = 116,319,195,136/154,976
  6. Step 6: Final answer
    x = 750,562.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.