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Finding the Third Proportional to 173,226 and 379,524

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Solution

The third proportional to 173,226 and 379,524 is: 831,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,226 : 379,524 = 379,524 : x
  2. Step 2: Convert to fraction form
    173,226/379,524 = 379,524/x
  3. Step 3: Cross multiply
    173,226x = 379,524 × 379,524
  4. Step 4: Simplify right side
    173,226x = 144,038,466,576
  5. Step 5: Solve for x
    x = 144,038,466,576/173,226
  6. Step 6: Final answer
    x = 831,506.05

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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.