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Finding the Third Proportional to 163,731 and 260,358.75

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Solution

The third proportional to 163,731 and 260,358.75 is: 414,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,731 : 260,358.75 = 260,358.75 : x
  2. Step 2: Convert to fraction form
    163,731/260,358.75 = 260,358.75/x
  3. Step 3: Cross multiply
    163,731x = 260,358.75 × 260,358.75
  4. Step 4: Simplify right side
    163,731x = 67,786,678,701.56
  5. Step 5: Solve for x
    x = 67,786,678,701.56/163,731
  6. Step 6: Final answer
    x = 414,012.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.