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Finding the Third Proportional to 158,670 and 346,275

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Solution

The third proportional to 158,670 and 346,275 is: 755,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,670 : 346,275 = 346,275 : x
  2. Step 2: Convert to fraction form
    158,670/346,275 = 346,275/x
  3. Step 3: Cross multiply
    158,670x = 346,275 × 346,275
  4. Step 4: Simplify right side
    158,670x = 119,906,375,625
  5. Step 5: Solve for x
    x = 119,906,375,625/158,670
  6. Step 6: Final answer
    x = 755,696.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.