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Finding the Third Proportional to 173,725 and 377,339

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Solution

The third proportional to 173,725 and 377,339 is: 819,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,725 : 377,339 = 377,339 : x
  2. Step 2: Convert to fraction form
    173,725/377,339 = 377,339/x
  3. Step 3: Cross multiply
    173,725x = 377,339 × 377,339
  4. Step 4: Simplify right side
    173,725x = 142,384,720,921
  5. Step 5: Solve for x
    x = 142,384,720,921/173,725
  6. Step 6: Final answer
    x = 819,598.34

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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.