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Finding the Third Proportional to 177,633 and 265,609.13

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Solution

The third proportional to 177,633 and 265,609.13 is: 397,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,633 : 265,609.13 = 265,609.13 : x
  2. Step 2: Convert to fraction form
    177,633/265,609.13 = 265,609.13/x
  3. Step 3: Cross multiply
    177,633x = 265,609.13 × 265,609.13
  4. Step 4: Simplify right side
    177,633x = 70,548,207,283.27
  5. Step 5: Solve for x
    x = 70,548,207,283.27/177,633
  6. Step 6: Final answer
    x = 397,157.10

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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.