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Finding the Third Proportional to 216,298 and 289,332

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Solution

The third proportional to 216,298 and 289,332 is: 387,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,298 : 289,332 = 289,332 : x
  2. Step 2: Convert to fraction form
    216,298/289,332 = 289,332/x
  3. Step 3: Cross multiply
    216,298x = 289,332 × 289,332
  4. Step 4: Simplify right side
    216,298x = 83,713,006,224
  5. Step 5: Solve for x
    x = 83,713,006,224/216,298
  6. Step 6: Final answer
    x = 387,026.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.