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Finding the Third Proportional to 120,649.50 and 295,336.13

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Solution

The third proportional to 120,649.50 and 295,336.13 is: 722,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649.50 : 295,336.13 = 295,336.13 : x
  2. Step 2: Convert to fraction form
    120,649.50/295,336.13 = 295,336.13/x
  3. Step 3: Cross multiply
    120,649.50x = 295,336.13 × 295,336.13
  4. Step 4: Simplify right side
    120,649.50x = 87,223,426,730.02
  5. Step 5: Solve for x
    x = 87,223,426,730.02/120,649.50
  6. Step 6: Final answer
    x = 722,948.93

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.