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Finding the Third Proportional to 175,944 and 265,420

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Solution

The third proportional to 175,944 and 265,420 is: 400,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,944 : 265,420 = 265,420 : x
  2. Step 2: Convert to fraction form
    175,944/265,420 = 265,420/x
  3. Step 3: Cross multiply
    175,944x = 265,420 × 265,420
  4. Step 4: Simplify right side
    175,944x = 70,447,776,400
  5. Step 5: Solve for x
    x = 70,447,776,400/175,944
  6. Step 6: Final answer
    x = 400,398.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.