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Finding the Third Proportional to 150,864.75 and 314,129.25

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Solution

The third proportional to 150,864.75 and 314,129.25 is: 654,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864.75 : 314,129.25 = 314,129.25 : x
  2. Step 2: Convert to fraction form
    150,864.75/314,129.25 = 314,129.25/x
  3. Step 3: Cross multiply
    150,864.75x = 314,129.25 × 314,129.25
  4. Step 4: Simplify right side
    150,864.75x = 98,677,185,705.56
  5. Step 5: Solve for x
    x = 98,677,185,705.56/150,864.75
  6. Step 6: Final answer
    x = 654,077.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.