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Finding the Third Proportional to 159,815.50 and 344,539

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Solution

The third proportional to 159,815.50 and 344,539 is: 742,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,815.50 : 344,539 = 344,539 : x
  2. Step 2: Convert to fraction form
    159,815.50/344,539 = 344,539/x
  3. Step 3: Cross multiply
    159,815.50x = 344,539 × 344,539
  4. Step 4: Simplify right side
    159,815.50x = 118,707,122,521
  5. Step 5: Solve for x
    x = 118,707,122,521/159,815.50
  6. Step 6: Final answer
    x = 742,776.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.