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Finding the Third Proportional to 225,098 and 343,364

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Solution

The third proportional to 225,098 and 343,364 is: 523,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,098 : 343,364 = 343,364 : x
  2. Step 2: Convert to fraction form
    225,098/343,364 = 343,364/x
  3. Step 3: Cross multiply
    225,098x = 343,364 × 343,364
  4. Step 4: Simplify right side
    225,098x = 117,898,836,496
  5. Step 5: Solve for x
    x = 117,898,836,496/225,098
  6. Step 6: Final answer
    x = 523,766.70

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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.