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Finding the Third Proportional to 175,284 and 260,226

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Solution

The third proportional to 175,284 and 260,226 is: 386,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 260,226 = 260,226 : x
  2. Step 2: Convert to fraction form
    175,284/260,226 = 260,226/x
  3. Step 3: Cross multiply
    175,284x = 260,226 × 260,226
  4. Step 4: Simplify right side
    175,284x = 67,717,571,076
  5. Step 5: Solve for x
    x = 67,717,571,076/175,284
  6. Step 6: Final answer
    x = 386,330.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.