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Finding the Third Proportional to 177,315 and 265,346

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Solution

The third proportional to 177,315 and 265,346 is: 397,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,315 : 265,346 = 265,346 : x
  2. Step 2: Convert to fraction form
    177,315/265,346 = 265,346/x
  3. Step 3: Cross multiply
    177,315x = 265,346 × 265,346
  4. Step 4: Simplify right side
    177,315x = 70,408,499,716
  5. Step 5: Solve for x
    x = 70,408,499,716/177,315
  6. Step 6: Final answer
    x = 397,081.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.