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Finding the Third Proportional to 127,181 and 202,446.50

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Solution

The third proportional to 127,181 and 202,446.50 is: 322,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,181 : 202,446.50 = 202,446.50 : x
  2. Step 2: Convert to fraction form
    127,181/202,446.50 = 202,446.50/x
  3. Step 3: Cross multiply
    127,181x = 202,446.50 × 202,446.50
  4. Step 4: Simplify right side
    127,181x = 40,984,585,362.25
  5. Step 5: Solve for x
    x = 40,984,585,362.25/127,181
  6. Step 6: Final answer
    x = 322,254.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.