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Finding the Third Proportional to 235,442 and 353,683

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Solution

The third proportional to 235,442 and 353,683 is: 531,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,442 : 353,683 = 353,683 : x
  2. Step 2: Convert to fraction form
    235,442/353,683 = 353,683/x
  3. Step 3: Cross multiply
    235,442x = 353,683 × 353,683
  4. Step 4: Simplify right side
    235,442x = 125,091,664,489
  5. Step 5: Solve for x
    x = 125,091,664,489/235,442
  6. Step 6: Final answer
    x = 531,305.65

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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.