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Finding the Third Proportional to 237,742 and 352,683

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Solution

The third proportional to 237,742 and 352,683 is: 523,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,742 : 352,683 = 352,683 : x
  2. Step 2: Convert to fraction form
    237,742/352,683 = 352,683/x
  3. Step 3: Cross multiply
    237,742x = 352,683 × 352,683
  4. Step 4: Simplify right side
    237,742x = 124,385,298,489
  5. Step 5: Solve for x
    x = 124,385,298,489/237,742
  6. Step 6: Final answer
    x = 523,194.46

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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.