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Finding the Third Proportional to 173,229 and 379,560

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Solution

The third proportional to 173,229 and 379,560 is: 831,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,229 : 379,560 = 379,560 : x
  2. Step 2: Convert to fraction form
    173,229/379,560 = 379,560/x
  3. Step 3: Cross multiply
    173,229x = 379,560 × 379,560
  4. Step 4: Simplify right side
    173,229x = 144,065,793,600
  5. Step 5: Solve for x
    x = 144,065,793,600/173,229
  6. Step 6: Final answer
    x = 831,649.40

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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.