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Finding the Third Proportional to 159,495.75 and 346,855.50

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Solution

The third proportional to 159,495.75 and 346,855.50 is: 754,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,495.75 : 346,855.50 = 346,855.50 : x
  2. Step 2: Convert to fraction form
    159,495.75/346,855.50 = 346,855.50/x
  3. Step 3: Cross multiply
    159,495.75x = 346,855.50 × 346,855.50
  4. Step 4: Simplify right side
    159,495.75x = 120,308,737,880.25
  5. Step 5: Solve for x
    x = 120,308,737,880.25/159,495.75
  6. Step 6: Final answer
    x = 754,306.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.