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Finding the Third Proportional to 156,643.88 and 228,268.13

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Solution

The third proportional to 156,643.88 and 228,268.13 is: 332,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643.88 : 228,268.13 = 228,268.13 : x
  2. Step 2: Convert to fraction form
    156,643.88/228,268.13 = 228,268.13/x
  3. Step 3: Cross multiply
    156,643.88x = 228,268.13 × 228,268.13
  4. Step 4: Simplify right side
    156,643.88x = 52,106,336,891.02
  5. Step 5: Solve for x
    x = 52,106,336,891.02/156,643.88
  6. Step 6: Final answer
    x = 332,642.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.