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Finding the Third Proportional to 139,801.50 and 299,193.75

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Solution

The third proportional to 139,801.50 and 299,193.75 is: 640,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,801.50 : 299,193.75 = 299,193.75 : x
  2. Step 2: Convert to fraction form
    139,801.50/299,193.75 = 299,193.75/x
  3. Step 3: Cross multiply
    139,801.50x = 299,193.75 × 299,193.75
  4. Step 4: Simplify right side
    139,801.50x = 89,516,900,039.06
  5. Step 5: Solve for x
    x = 89,516,900,039.06/139,801.50
  6. Step 6: Final answer
    x = 640,314.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.