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Finding the Third Proportional to 170,113.50 and 361,731

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Solution

The third proportional to 170,113.50 and 361,731 is: 769,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,113.50 : 361,731 = 361,731 : x
  2. Step 2: Convert to fraction form
    170,113.50/361,731 = 361,731/x
  3. Step 3: Cross multiply
    170,113.50x = 361,731 × 361,731
  4. Step 4: Simplify right side
    170,113.50x = 130,849,316,361
  5. Step 5: Solve for x
    x = 130,849,316,361/170,113.50
  6. Step 6: Final answer
    x = 769,188.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.