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Finding the Third Proportional to 177,584 and 390,164

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Solution

The third proportional to 177,584 and 390,164 is: 857,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,584 : 390,164 = 390,164 : x
  2. Step 2: Convert to fraction form
    177,584/390,164 = 390,164/x
  3. Step 3: Cross multiply
    177,584x = 390,164 × 390,164
  4. Step 4: Simplify right side
    177,584x = 152,227,946,896
  5. Step 5: Solve for x
    x = 152,227,946,896/177,584
  6. Step 6: Final answer
    x = 857,216.57

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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.