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Finding the Third Proportional to 216,152 and 323,364

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Solution

The third proportional to 216,152 and 323,364 is: 483,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,152 : 323,364 = 323,364 : x
  2. Step 2: Convert to fraction form
    216,152/323,364 = 323,364/x
  3. Step 3: Cross multiply
    216,152x = 323,364 × 323,364
  4. Step 4: Simplify right side
    216,152x = 104,564,276,496
  5. Step 5: Solve for x
    x = 104,564,276,496/216,152
  6. Step 6: Final answer
    x = 483,753.45

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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.