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Finding the Third Proportional to 175,436 and 384,260

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Solution

The third proportional to 175,436 and 384,260 is: 841,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,436 : 384,260 = 384,260 : x
  2. Step 2: Convert to fraction form
    175,436/384,260 = 384,260/x
  3. Step 3: Cross multiply
    175,436x = 384,260 × 384,260
  4. Step 4: Simplify right side
    175,436x = 147,655,747,600
  5. Step 5: Solve for x
    x = 147,655,747,600/175,436
  6. Step 6: Final answer
    x = 841,650.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.