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Finding the Third Proportional to 157,226 and 349,282

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Solution

The third proportional to 157,226 and 349,282 is: 775,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,226 : 349,282 = 349,282 : x
  2. Step 2: Convert to fraction form
    157,226/349,282 = 349,282/x
  3. Step 3: Cross multiply
    157,226x = 349,282 × 349,282
  4. Step 4: Simplify right side
    157,226x = 121,997,915,524
  5. Step 5: Solve for x
    x = 121,997,915,524/157,226
  6. Step 6: Final answer
    x = 775,939.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.