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Finding the Third Proportional to 107,410 and 230,364

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Solution

The third proportional to 107,410 and 230,364 is: 494,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,410 : 230,364 = 230,364 : x
  2. Step 2: Convert to fraction form
    107,410/230,364 = 230,364/x
  3. Step 3: Cross multiply
    107,410x = 230,364 × 230,364
  4. Step 4: Simplify right side
    107,410x = 53,067,572,496
  5. Step 5: Solve for x
    x = 53,067,572,496/107,410
  6. Step 6: Final answer
    x = 494,065.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.