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Finding the Third Proportional to 241,499.63 and 354,865.13

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Solution

The third proportional to 241,499.63 and 354,865.13 is: 521,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,499.63 : 354,865.13 = 354,865.13 : x
  2. Step 2: Convert to fraction form
    241,499.63/354,865.13 = 354,865.13/x
  3. Step 3: Cross multiply
    241,499.63x = 354,865.13 × 354,865.13
  4. Step 4: Simplify right side
    241,499.63x = 125,929,256,941.27
  5. Step 5: Solve for x
    x = 125,929,256,941.27/241,499.63
  6. Step 6: Final answer
    x = 521,447.01

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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.