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Finding the Third Proportional to 223,569 and 332,316

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Solution

The third proportional to 223,569 and 332,316 is: 493,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,569 : 332,316 = 332,316 : x
  2. Step 2: Convert to fraction form
    223,569/332,316 = 332,316/x
  3. Step 3: Cross multiply
    223,569x = 332,316 × 332,316
  4. Step 4: Simplify right side
    223,569x = 110,433,923,856
  5. Step 5: Solve for x
    x = 110,433,923,856/223,569
  6. Step 6: Final answer
    x = 493,959.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.