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Finding the Third Proportional to 174,320 and 368,224

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Solution

The third proportional to 174,320 and 368,224 is: 777,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,320 : 368,224 = 368,224 : x
  2. Step 2: Convert to fraction form
    174,320/368,224 = 368,224/x
  3. Step 3: Cross multiply
    174,320x = 368,224 × 368,224
  4. Step 4: Simplify right side
    174,320x = 135,588,914,176
  5. Step 5: Solve for x
    x = 135,588,914,176/174,320
  6. Step 6: Final answer
    x = 777,816.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.