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Finding the Third Proportional to 177,390 and 265,389.75

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Solution

The third proportional to 177,390 and 265,389.75 is: 397,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,390 : 265,389.75 = 265,389.75 : x
  2. Step 2: Convert to fraction form
    177,390/265,389.75 = 265,389.75/x
  3. Step 3: Cross multiply
    177,390x = 265,389.75 × 265,389.75
  4. Step 4: Simplify right side
    177,390x = 70,431,719,405.06
  5. Step 5: Solve for x
    x = 70,431,719,405.06/177,390
  6. Step 6: Final answer
    x = 397,044.47

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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.