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Finding the Third Proportional to 183,092.91 and 291,349.41

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Solution

The third proportional to 183,092.91 and 291,349.41 is: 463,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,092.91 : 291,349.41 = 291,349.41 : x
  2. Step 2: Convert to fraction form
    183,092.91/291,349.41 = 291,349.41/x
  3. Step 3: Cross multiply
    183,092.91x = 291,349.41 × 291,349.41
  4. Step 4: Simplify right side
    183,092.91x = 84,884,476,522.23
  5. Step 5: Solve for x
    x = 84,884,476,522.23/183,092.91
  6. Step 6: Final answer
    x = 463,614.23

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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.