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Finding the Third Proportional to 235,440 and 353,680

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Solution

The third proportional to 235,440 and 353,680 is: 531,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,440 : 353,680 = 353,680 : x
  2. Step 2: Convert to fraction form
    235,440/353,680 = 353,680/x
  3. Step 3: Cross multiply
    235,440x = 353,680 × 353,680
  4. Step 4: Simplify right side
    235,440x = 125,089,542,400
  5. Step 5: Solve for x
    x = 125,089,542,400/235,440
  6. Step 6: Final answer
    x = 531,301.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.