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Finding the Third Proportional to 161,716.50 and 252,416.25

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Solution

The third proportional to 161,716.50 and 252,416.25 is: 393,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,716.50 : 252,416.25 = 252,416.25 : x
  2. Step 2: Convert to fraction form
    161,716.50/252,416.25 = 252,416.25/x
  3. Step 3: Cross multiply
    161,716.50x = 252,416.25 × 252,416.25
  4. Step 4: Simplify right side
    161,716.50x = 63,713,963,264.06
  5. Step 5: Solve for x
    x = 63,713,963,264.06/161,716.50
  6. Step 6: Final answer
    x = 393,985.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.