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Finding the Third Proportional to 173,780 and 376,461

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Solution

The third proportional to 173,780 and 376,461 is: 815,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,780 : 376,461 = 376,461 : x
  2. Step 2: Convert to fraction form
    173,780/376,461 = 376,461/x
  3. Step 3: Cross multiply
    173,780x = 376,461 × 376,461
  4. Step 4: Simplify right side
    173,780x = 141,722,884,521
  5. Step 5: Solve for x
    x = 141,722,884,521/173,780
  6. Step 6: Final answer
    x = 815,530.47

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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.