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Finding the Third Proportional to 183,353.63 and 291,736.69

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Solution

The third proportional to 183,353.63 and 291,736.69 is: 464,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,353.63 : 291,736.69 = 291,736.69 : x
  2. Step 2: Convert to fraction form
    183,353.63/291,736.69 = 291,736.69/x
  3. Step 3: Cross multiply
    183,353.63x = 291,736.69 × 291,736.69
  4. Step 4: Simplify right side
    183,353.63x = 85,110,294,833.47
  5. Step 5: Solve for x
    x = 85,110,294,833.47/183,353.63
  6. Step 6: Final answer
    x = 464,186.59

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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.