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Finding the Third Proportional to 209,710.50 and 333,519.75

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Solution

The third proportional to 209,710.50 and 333,519.75 is: 530,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,710.50 : 333,519.75 = 333,519.75 : x
  2. Step 2: Convert to fraction form
    209,710.50/333,519.75 = 333,519.75/x
  3. Step 3: Cross multiply
    209,710.50x = 333,519.75 × 333,519.75
  4. Step 4: Simplify right side
    209,710.50x = 111,235,423,640.06
  5. Step 5: Solve for x
    x = 111,235,423,640.06/209,710.50
  6. Step 6: Final answer
    x = 530,423.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.