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Finding the Third Proportional to 235,356 and 359,192

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Solution

The third proportional to 235,356 and 359,192 is: 548,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,356 : 359,192 = 359,192 : x
  2. Step 2: Convert to fraction form
    235,356/359,192 = 359,192/x
  3. Step 3: Cross multiply
    235,356x = 359,192 × 359,192
  4. Step 4: Simplify right side
    235,356x = 129,018,892,864
  5. Step 5: Solve for x
    x = 129,018,892,864/235,356
  6. Step 6: Final answer
    x = 548,186.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.