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Finding the Third Proportional to 225,064.50 and 340,006.50

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Solution

The third proportional to 225,064.50 and 340,006.50 is: 513,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,064.50 : 340,006.50 = 340,006.50 : x
  2. Step 2: Convert to fraction form
    225,064.50/340,006.50 = 340,006.50/x
  3. Step 3: Cross multiply
    225,064.50x = 340,006.50 × 340,006.50
  4. Step 4: Simplify right side
    225,064.50x = 115,604,420,042.25
  5. Step 5: Solve for x
    x = 115,604,420,042.25/225,064.50
  6. Step 6: Final answer
    x = 513,650.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.