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Finding the Third Proportional to 219,169.50 and 473,259

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Solution

The third proportional to 219,169.50 and 473,259 is: 1,021,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,169.50 : 473,259 = 473,259 : x
  2. Step 2: Convert to fraction form
    219,169.50/473,259 = 473,259/x
  3. Step 3: Cross multiply
    219,169.50x = 473,259 × 473,259
  4. Step 4: Simplify right side
    219,169.50x = 223,974,081,081
  5. Step 5: Solve for x
    x = 223,974,081,081/219,169.50
  6. Step 6: Final answer
    x = 1,021,921.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.