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Finding the Third Proportional to 170,722.50 and 245,914.50

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Solution

The third proportional to 170,722.50 and 245,914.50 is: 354,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,722.50 : 245,914.50 = 245,914.50 : x
  2. Step 2: Convert to fraction form
    170,722.50/245,914.50 = 245,914.50/x
  3. Step 3: Cross multiply
    170,722.50x = 245,914.50 × 245,914.50
  4. Step 4: Simplify right side
    170,722.50x = 60,473,941,310.25
  5. Step 5: Solve for x
    x = 60,473,941,310.25/170,722.50
  6. Step 6: Final answer
    x = 354,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.