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Finding the Third Proportional to 131,454 and 203,364

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Solution

The third proportional to 131,454 and 203,364 is: 314,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,454 : 203,364 = 203,364 : x
  2. Step 2: Convert to fraction form
    131,454/203,364 = 203,364/x
  3. Step 3: Cross multiply
    131,454x = 203,364 × 203,364
  4. Step 4: Simplify right side
    131,454x = 41,356,916,496
  5. Step 5: Solve for x
    x = 41,356,916,496/131,454
  6. Step 6: Final answer
    x = 314,611.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.