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Finding the Third Proportional to 161,070.50 and 236,675

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Solution

The third proportional to 161,070.50 and 236,675 is: 347,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,070.50 : 236,675 = 236,675 : x
  2. Step 2: Convert to fraction form
    161,070.50/236,675 = 236,675/x
  3. Step 3: Cross multiply
    161,070.50x = 236,675 × 236,675
  4. Step 4: Simplify right side
    161,070.50x = 56,015,055,625
  5. Step 5: Solve for x
    x = 56,015,055,625/161,070.50
  6. Step 6: Final answer
    x = 347,767.32

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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.