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Finding the Third Proportional to 177,577.50 and 390,147

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Solution

The third proportional to 177,577.50 and 390,147 is: 857,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,577.50 : 390,147 = 390,147 : x
  2. Step 2: Convert to fraction form
    177,577.50/390,147 = 390,147/x
  3. Step 3: Cross multiply
    177,577.50x = 390,147 × 390,147
  4. Step 4: Simplify right side
    177,577.50x = 152,214,681,609
  5. Step 5: Solve for x
    x = 152,214,681,609/177,577.50
  6. Step 6: Final answer
    x = 857,173.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.