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Finding the Third Proportional to 241,196.06 and 354,572.44

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Solution

The third proportional to 241,196.06 and 354,572.44 is: 521,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,196.06 : 354,572.44 = 354,572.44 : x
  2. Step 2: Convert to fraction form
    241,196.06/354,572.44 = 354,572.44/x
  3. Step 3: Cross multiply
    241,196.06x = 354,572.44 × 354,572.44
  4. Step 4: Simplify right side
    241,196.06x = 125,721,613,434.69
  5. Step 5: Solve for x
    x = 125,721,613,434.69/241,196.06
  6. Step 6: Final answer
    x = 521,242.40

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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.