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Finding the Third Proportional to 173,001 and 377,307

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Solution

The third proportional to 173,001 and 377,307 is: 822,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,001 : 377,307 = 377,307 : x
  2. Step 2: Convert to fraction form
    173,001/377,307 = 377,307/x
  3. Step 3: Cross multiply
    173,001x = 377,307 × 377,307
  4. Step 4: Simplify right side
    173,001x = 142,360,572,249
  5. Step 5: Solve for x
    x = 142,360,572,249/173,001
  6. Step 6: Final answer
    x = 822,888.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.