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Finding the Third Proportional to 219,315.09 and 330,066.14

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Solution

The third proportional to 219,315.09 and 330,066.14 is: 496,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,315.09 : 330,066.14 = 330,066.14 : x
  2. Step 2: Convert to fraction form
    219,315.09/330,066.14 = 330,066.14/x
  3. Step 3: Cross multiply
    219,315.09x = 330,066.14 × 330,066.14
  4. Step 4: Simplify right side
    219,315.09x = 108,943,657,187.08
  5. Step 5: Solve for x
    x = 108,943,657,187.08/219,315.09
  6. Step 6: Final answer
    x = 496,744.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.