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Finding the Third Proportional to 174,794 and 265,413

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Solution

The third proportional to 174,794 and 265,413 is: 403,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,794 : 265,413 = 265,413 : x
  2. Step 2: Convert to fraction form
    174,794/265,413 = 265,413/x
  3. Step 3: Cross multiply
    174,794x = 265,413 × 265,413
  4. Step 4: Simplify right side
    174,794x = 70,444,060,569
  5. Step 5: Solve for x
    x = 70,444,060,569/174,794
  6. Step 6: Final answer
    x = 403,011.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.