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Finding the Third Proportional to 217,316 and 332,435

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Solution

The third proportional to 217,316 and 332,435 is: 508,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,316 : 332,435 = 332,435 : x
  2. Step 2: Convert to fraction form
    217,316/332,435 = 332,435/x
  3. Step 3: Cross multiply
    217,316x = 332,435 × 332,435
  4. Step 4: Simplify right side
    217,316x = 110,513,029,225
  5. Step 5: Solve for x
    x = 110,513,029,225/217,316
  6. Step 6: Final answer
    x = 508,536.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.