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Finding the Third Proportional to 175,356 and 380,223

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Solution

The third proportional to 175,356 and 380,223 is: 824,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,356 : 380,223 = 380,223 : x
  2. Step 2: Convert to fraction form
    175,356/380,223 = 380,223/x
  3. Step 3: Cross multiply
    175,356x = 380,223 × 380,223
  4. Step 4: Simplify right side
    175,356x = 144,569,529,729
  5. Step 5: Solve for x
    x = 144,569,529,729/175,356
  6. Step 6: Final answer
    x = 824,434.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.