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Finding the Third Proportional to 236,564 and 357,302

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Solution

The third proportional to 236,564 and 357,302 is: 539,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,564 : 357,302 = 357,302 : x
  2. Step 2: Convert to fraction form
    236,564/357,302 = 357,302/x
  3. Step 3: Cross multiply
    236,564x = 357,302 × 357,302
  4. Step 4: Simplify right side
    236,564x = 127,664,719,204
  5. Step 5: Solve for x
    x = 127,664,719,204/236,564
  6. Step 6: Final answer
    x = 539,662.50

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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.