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Finding the Third Proportional to 241,285.50 and 354,903.75

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Solution

The third proportional to 241,285.50 and 354,903.75 is: 522,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,285.50 : 354,903.75 = 354,903.75 : x
  2. Step 2: Convert to fraction form
    241,285.50/354,903.75 = 354,903.75/x
  3. Step 3: Cross multiply
    241,285.50x = 354,903.75 × 354,903.75
  4. Step 4: Simplify right side
    241,285.50x = 125,956,671,764.06
  5. Step 5: Solve for x
    x = 125,956,671,764.06/241,285.50
  6. Step 6: Final answer
    x = 522,023.38

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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.