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Finding the Third Proportional to 107,483 and 232,477

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Solution

The third proportional to 107,483 and 232,477 is: 502,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,483 : 232,477 = 232,477 : x
  2. Step 2: Convert to fraction form
    107,483/232,477 = 232,477/x
  3. Step 3: Cross multiply
    107,483x = 232,477 × 232,477
  4. Step 4: Simplify right side
    107,483x = 54,045,555,529
  5. Step 5: Solve for x
    x = 54,045,555,529/107,483
  6. Step 6: Final answer
    x = 502,828.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.