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Finding the Third Proportional to 177,315.33 and 265,346.51

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Solution

The third proportional to 177,315.33 and 265,346.51 is: 397,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,315.33 : 265,346.51 = 265,346.51 : x
  2. Step 2: Convert to fraction form
    177,315.33/265,346.51 = 265,346.51/x
  3. Step 3: Cross multiply
    177,315.33x = 265,346.51 × 265,346.51
  4. Step 4: Simplify right side
    177,315.33x = 70,408,769,208.29
  5. Step 5: Solve for x
    x = 70,408,769,208.29/177,315.33
  6. Step 6: Final answer
    x = 397,082.25

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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.