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Finding the Third Proportional to 157,869 and 338,154.75

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Solution

The third proportional to 157,869 and 338,154.75 is: 724,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,869 : 338,154.75 = 338,154.75 : x
  2. Step 2: Convert to fraction form
    157,869/338,154.75 = 338,154.75/x
  3. Step 3: Cross multiply
    157,869x = 338,154.75 × 338,154.75
  4. Step 4: Simplify right side
    157,869x = 114,348,634,947.56
  5. Step 5: Solve for x
    x = 114,348,634,947.56/157,869
  6. Step 6: Final answer
    x = 724,326.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.