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Finding the Third Proportional to 219,152 and 466,548

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Solution

The third proportional to 219,152 and 466,548 is: 993,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,152 : 466,548 = 466,548 : x
  2. Step 2: Convert to fraction form
    219,152/466,548 = 466,548/x
  3. Step 3: Cross multiply
    219,152x = 466,548 × 466,548
  4. Step 4: Simplify right side
    219,152x = 217,667,036,304
  5. Step 5: Solve for x
    x = 217,667,036,304/219,152
  6. Step 6: Final answer
    x = 993,224.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.