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Finding the Third Proportional to 299,300.06 and 354,658.50

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Solution

The third proportional to 299,300.06 and 354,658.50 is: 420,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,300.06 : 354,658.50 = 354,658.50 : x
  2. Step 2: Convert to fraction form
    299,300.06/354,658.50 = 354,658.50/x
  3. Step 3: Cross multiply
    299,300.06x = 354,658.50 × 354,658.50
  4. Step 4: Simplify right side
    299,300.06x = 125,782,651,622.25
  5. Step 5: Solve for x
    x = 125,782,651,622.25/299,300.06
  6. Step 6: Final answer
    x = 420,256.02

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.