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Finding the Third Proportional to 159,051 and 233,230.50

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Solution

The third proportional to 159,051 and 233,230.50 is: 342,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,051 : 233,230.50 = 233,230.50 : x
  2. Step 2: Convert to fraction form
    159,051/233,230.50 = 233,230.50/x
  3. Step 3: Cross multiply
    159,051x = 233,230.50 × 233,230.50
  4. Step 4: Simplify right side
    159,051x = 54,396,466,130.25
  5. Step 5: Solve for x
    x = 54,396,466,130.25/159,051
  6. Step 6: Final answer
    x = 342,006.44

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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.