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Finding the Third Proportional to 175,371 and 380,253

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Solution

The third proportional to 175,371 and 380,253 is: 824,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,371 : 380,253 = 380,253 : x
  2. Step 2: Convert to fraction form
    175,371/380,253 = 380,253/x
  3. Step 3: Cross multiply
    175,371x = 380,253 × 380,253
  4. Step 4: Simplify right side
    175,371x = 144,592,344,009
  5. Step 5: Solve for x
    x = 144,592,344,009/175,371
  6. Step 6: Final answer
    x = 824,494.04

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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.