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Finding the Third Proportional to 161,365 and 236,863.50

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Solution

The third proportional to 161,365 and 236,863.50 is: 347,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,365 : 236,863.50 = 236,863.50 : x
  2. Step 2: Convert to fraction form
    161,365/236,863.50 = 236,863.50/x
  3. Step 3: Cross multiply
    161,365x = 236,863.50 × 236,863.50
  4. Step 4: Simplify right side
    161,365x = 56,104,317,632.25
  5. Step 5: Solve for x
    x = 56,104,317,632.25/161,365
  6. Step 6: Final answer
    x = 347,685.79

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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.