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Finding the Third Proportional to 146,207.50 and 314,171

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Solution

The third proportional to 146,207.50 and 314,171 is: 675,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,207.50 : 314,171 = 314,171 : x
  2. Step 2: Convert to fraction form
    146,207.50/314,171 = 314,171/x
  3. Step 3: Cross multiply
    146,207.50x = 314,171 × 314,171
  4. Step 4: Simplify right side
    146,207.50x = 98,703,417,241
  5. Step 5: Solve for x
    x = 98,703,417,241/146,207.50
  6. Step 6: Final answer
    x = 675,091.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.