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Finding the Third Proportional to 354,148.50 and 534,187

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Solution

The third proportional to 354,148.50 and 534,187 is: 805,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,148.50 : 534,187 = 534,187 : x
  2. Step 2: Convert to fraction form
    354,148.50/534,187 = 534,187/x
  3. Step 3: Cross multiply
    354,148.50x = 534,187 × 534,187
  4. Step 4: Simplify right side
    354,148.50x = 285,355,750,969
  5. Step 5: Solve for x
    x = 285,355,750,969/354,148.50
  6. Step 6: Final answer
    x = 805,751.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.