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Finding the Third Proportional to 183,336 and 291,727

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Solution

The third proportional to 183,336 and 291,727 is: 464,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,336 : 291,727 = 291,727 : x
  2. Step 2: Convert to fraction form
    183,336/291,727 = 291,727/x
  3. Step 3: Cross multiply
    183,336x = 291,727 × 291,727
  4. Step 4: Simplify right side
    183,336x = 85,104,642,529
  5. Step 5: Solve for x
    x = 85,104,642,529/183,336
  6. Step 6: Final answer
    x = 464,200.39

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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.