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Finding the Third Proportional to 199,624.50 and 286,946.30

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Solution

The third proportional to 199,624.50 and 286,946.30 is: 412,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624.50 : 286,946.30 = 286,946.30 : x
  2. Step 2: Convert to fraction form
    199,624.50/286,946.30 = 286,946.30/x
  3. Step 3: Cross multiply
    199,624.50x = 286,946.30 × 286,946.30
  4. Step 4: Simplify right side
    199,624.50x = 82,338,177,290.28
  5. Step 5: Solve for x
    x = 82,338,177,290.28/199,624.50
  6. Step 6: Final answer
    x = 412,465.29

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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.