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Finding the Third Proportional to 244,096.50 and 354,946.50

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Solution

The third proportional to 244,096.50 and 354,946.50 is: 516,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,096.50 : 354,946.50 = 354,946.50 : x
  2. Step 2: Convert to fraction form
    244,096.50/354,946.50 = 354,946.50/x
  3. Step 3: Cross multiply
    244,096.50x = 354,946.50 × 354,946.50
  4. Step 4: Simplify right side
    244,096.50x = 125,987,017,862.25
  5. Step 5: Solve for x
    x = 125,987,017,862.25/244,096.50
  6. Step 6: Final answer
    x = 516,136.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.