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Finding the Third Proportional to 241,019.93 and 354,071.88

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Solution

The third proportional to 241,019.93 and 354,071.88 is: 520,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,019.93 : 354,071.88 = 354,071.88 : x
  2. Step 2: Convert to fraction form
    241,019.93/354,071.88 = 354,071.88/x
  3. Step 3: Cross multiply
    241,019.93x = 354,071.88 × 354,071.88
  4. Step 4: Simplify right side
    241,019.93x = 125,366,898,198.39
  5. Step 5: Solve for x
    x = 125,366,898,198.39/241,019.93
  6. Step 6: Final answer
    x = 520,151.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.