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Finding the Third Proportional to 159,417 and 235,480.50

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Solution

The third proportional to 159,417 and 235,480.50 is: 347,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,417 : 235,480.50 = 235,480.50 : x
  2. Step 2: Convert to fraction form
    159,417/235,480.50 = 235,480.50/x
  3. Step 3: Cross multiply
    159,417x = 235,480.50 × 235,480.50
  4. Step 4: Simplify right side
    159,417x = 55,451,065,880.25
  5. Step 5: Solve for x
    x = 55,451,065,880.25/159,417
  6. Step 6: Final answer
    x = 347,836.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.