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Finding the Third Proportional to 216,160 and 323,376

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Solution

The third proportional to 216,160 and 323,376 is: 483,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,160 : 323,376 = 323,376 : x
  2. Step 2: Convert to fraction form
    216,160/323,376 = 323,376/x
  3. Step 3: Cross multiply
    216,160x = 323,376 × 323,376
  4. Step 4: Simplify right side
    216,160x = 104,572,037,376
  5. Step 5: Solve for x
    x = 104,572,037,376/216,160
  6. Step 6: Final answer
    x = 483,771.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.