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Finding the Third Proportional to 176,667.75 and 386,980.03

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Solution

The third proportional to 176,667.75 and 386,980.03 is: 847,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,667.75 : 386,980.03 = 386,980.03 : x
  2. Step 2: Convert to fraction form
    176,667.75/386,980.03 = 386,980.03/x
  3. Step 3: Cross multiply
    176,667.75x = 386,980.03 × 386,980.03
  4. Step 4: Simplify right side
    176,667.75x = 149,753,544,586.25
  5. Step 5: Solve for x
    x = 149,753,544,586.25/176,667.75
  6. Step 6: Final answer
    x = 847,656.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.