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Finding the Third Proportional to 181,365.75 and 285,960.38

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Solution

The third proportional to 181,365.75 and 285,960.38 is: 450,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,365.75 : 285,960.38 = 285,960.38 : x
  2. Step 2: Convert to fraction form
    181,365.75/285,960.38 = 285,960.38/x
  3. Step 3: Cross multiply
    181,365.75x = 285,960.38 × 285,960.38
  4. Step 4: Simplify right side
    181,365.75x = 81,773,336,070.14
  5. Step 5: Solve for x
    x = 81,773,336,070.14/181,365.75
  6. Step 6: Final answer
    x = 450,875.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.