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Finding the Third Proportional to 177,300 and 410,024

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Solution

The third proportional to 177,300 and 410,024 is: 948,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,300 : 410,024 = 410,024 : x
  2. Step 2: Convert to fraction form
    177,300/410,024 = 410,024/x
  3. Step 3: Cross multiply
    177,300x = 410,024 × 410,024
  4. Step 4: Simplify right side
    177,300x = 168,119,680,576
  5. Step 5: Solve for x
    x = 168,119,680,576/177,300
  6. Step 6: Final answer
    x = 948,221.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.