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Finding the Third Proportional to 167,492.50 and 227,442.50

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Solution

The third proportional to 167,492.50 and 227,442.50 is: 308,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,492.50 : 227,442.50 = 227,442.50 : x
  2. Step 2: Convert to fraction form
    167,492.50/227,442.50 = 227,442.50/x
  3. Step 3: Cross multiply
    167,492.50x = 227,442.50 × 227,442.50
  4. Step 4: Simplify right side
    167,492.50x = 51,730,090,806.25
  5. Step 5: Solve for x
    x = 51,730,090,806.25/167,492.50
  6. Step 6: Final answer
    x = 308,850.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.