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Finding the Third Proportional to 224,488.13 and 330,169.50

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Solution

The third proportional to 224,488.13 and 330,169.50 is: 485,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,488.13 : 330,169.50 = 330,169.50 : x
  2. Step 2: Convert to fraction form
    224,488.13/330,169.50 = 330,169.50/x
  3. Step 3: Cross multiply
    224,488.13x = 330,169.50 × 330,169.50
  4. Step 4: Simplify right side
    224,488.13x = 109,011,898,730.25
  5. Step 5: Solve for x
    x = 109,011,898,730.25/224,488.13
  6. Step 6: Final answer
    x = 485,602.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.