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Finding the Third Proportional to 136,856.25 and 300,356.44

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Solution

The third proportional to 136,856.25 and 300,356.44 is: 659,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,856.25 : 300,356.44 = 300,356.44 : x
  2. Step 2: Convert to fraction form
    136,856.25/300,356.44 = 300,356.44/x
  3. Step 3: Cross multiply
    136,856.25x = 300,356.44 × 300,356.44
  4. Step 4: Simplify right side
    136,856.25x = 90,213,989,547.69
  5. Step 5: Solve for x
    x = 90,213,989,547.69/136,856.25
  6. Step 6: Final answer
    x = 659,187.94

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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.