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Finding the Third Proportional to 183,222 and 291,438

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Solution

The third proportional to 183,222 and 291,438 is: 463,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,222 : 291,438 = 291,438 : x
  2. Step 2: Convert to fraction form
    183,222/291,438 = 291,438/x
  3. Step 3: Cross multiply
    183,222x = 291,438 × 291,438
  4. Step 4: Simplify right side
    183,222x = 84,936,107,844
  5. Step 5: Solve for x
    x = 84,936,107,844/183,222
  6. Step 6: Final answer
    x = 463,569.37

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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.