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Finding the Third Proportional to 221,966 and 314,076

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Solution

The third proportional to 221,966 and 314,076 is: 444,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,966 : 314,076 = 314,076 : x
  2. Step 2: Convert to fraction form
    221,966/314,076 = 314,076/x
  3. Step 3: Cross multiply
    221,966x = 314,076 × 314,076
  4. Step 4: Simplify right side
    221,966x = 98,643,733,776
  5. Step 5: Solve for x
    x = 98,643,733,776/221,966
  6. Step 6: Final answer
    x = 444,409.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.