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Finding the Third Proportional to 244,971 and 316,912.50

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Solution

The third proportional to 244,971 and 316,912.50 is: 409,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,971 : 316,912.50 = 316,912.50 : x
  2. Step 2: Convert to fraction form
    244,971/316,912.50 = 316,912.50/x
  3. Step 3: Cross multiply
    244,971x = 316,912.50 × 316,912.50
  4. Step 4: Simplify right side
    244,971x = 100,433,532,656.25
  5. Step 5: Solve for x
    x = 100,433,532,656.25/244,971
  6. Step 6: Final answer
    x = 409,981.31

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.