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Finding the Third Proportional to 354,153 and 534,193.50

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Solution

The third proportional to 354,153 and 534,193.50 is: 805,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,153 : 534,193.50 = 534,193.50 : x
  2. Step 2: Convert to fraction form
    354,153/534,193.50 = 534,193.50/x
  3. Step 3: Cross multiply
    354,153x = 534,193.50 × 534,193.50
  4. Step 4: Simplify right side
    354,153x = 285,362,695,442.25
  5. Step 5: Solve for x
    x = 285,362,695,442.25/354,153
  6. Step 6: Final answer
    x = 805,761.06

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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.