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Finding the Third Proportional to 236,452 and 357,130

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Solution

The third proportional to 236,452 and 357,130 is: 539,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,452 : 357,130 = 357,130 : x
  2. Step 2: Convert to fraction form
    236,452/357,130 = 357,130/x
  3. Step 3: Cross multiply
    236,452x = 357,130 × 357,130
  4. Step 4: Simplify right side
    236,452x = 127,541,836,900
  5. Step 5: Solve for x
    x = 127,541,836,900/236,452
  6. Step 6: Final answer
    x = 539,398.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.