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Finding the Third Proportional to 161,001.75 and 236,578.50

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Solution

The third proportional to 161,001.75 and 236,578.50 is: 347,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,001.75 : 236,578.50 = 236,578.50 : x
  2. Step 2: Convert to fraction form
    161,001.75/236,578.50 = 236,578.50/x
  3. Step 3: Cross multiply
    161,001.75x = 236,578.50 × 236,578.50
  4. Step 4: Simplify right side
    161,001.75x = 55,969,386,662.25
  5. Step 5: Solve for x
    x = 55,969,386,662.25/161,001.75
  6. Step 6: Final answer
    x = 347,632.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.