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Finding the Third Proportional to 176,014 and 410,713

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Solution

The third proportional to 176,014 and 410,713 is: 958,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,014 : 410,713 = 410,713 : x
  2. Step 2: Convert to fraction form
    176,014/410,713 = 410,713/x
  3. Step 3: Cross multiply
    176,014x = 410,713 × 410,713
  4. Step 4: Simplify right side
    176,014x = 168,685,168,369
  5. Step 5: Solve for x
    x = 168,685,168,369/176,014
  6. Step 6: Final answer
    x = 958,362.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.