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Finding the Third Proportional to 177,592.50 and 390,177

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Solution

The third proportional to 177,592.50 and 390,177 is: 857,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,592.50 : 390,177 = 390,177 : x
  2. Step 2: Convert to fraction form
    177,592.50/390,177 = 390,177/x
  3. Step 3: Cross multiply
    177,592.50x = 390,177 × 390,177
  4. Step 4: Simplify right side
    177,592.50x = 152,238,091,329
  5. Step 5: Solve for x
    x = 152,238,091,329/177,592.50
  6. Step 6: Final answer
    x = 857,232.66

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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.