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Finding the Third Proportional to 183,786.75 and 292,636.13

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Solution

The third proportional to 183,786.75 and 292,636.13 is: 465,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,786.75 : 292,636.13 = 292,636.13 : x
  2. Step 2: Convert to fraction form
    183,786.75/292,636.13 = 292,636.13/x
  3. Step 3: Cross multiply
    183,786.75x = 292,636.13 × 292,636.13
  4. Step 4: Simplify right side
    183,786.75x = 85,635,901,655.02
  5. Step 5: Solve for x
    x = 85,635,901,655.02/183,786.75
  6. Step 6: Final answer
    x = 465,952.53

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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.