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Finding the Third Proportional to 241,242.47 and 354,845.81

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Solution

The third proportional to 241,242.47 and 354,845.81 is: 521,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,242.47 : 354,845.81 = 354,845.81 : x
  2. Step 2: Convert to fraction form
    241,242.47/354,845.81 = 354,845.81/x
  3. Step 3: Cross multiply
    241,242.47x = 354,845.81 × 354,845.81
  4. Step 4: Simplify right side
    241,242.47x = 125,915,550,648.79
  5. Step 5: Solve for x
    x = 125,915,550,648.79/241,242.47
  6. Step 6: Final answer
    x = 521,946.04

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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.