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Finding the Third Proportional to 183,226 and 291,463

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Solution

The third proportional to 183,226 and 291,463 is: 463,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,226 : 291,463 = 291,463 : x
  2. Step 2: Convert to fraction form
    183,226/291,463 = 291,463/x
  3. Step 3: Cross multiply
    183,226x = 291,463 × 291,463
  4. Step 4: Simplify right side
    183,226x = 84,950,680,369
  5. Step 5: Solve for x
    x = 84,950,680,369/183,226
  6. Step 6: Final answer
    x = 463,638.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.