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Finding the Third Proportional to 173,777.63 and 376,456.50

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Solution

The third proportional to 173,777.63 and 376,456.50 is: 815,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,777.63 : 376,456.50 = 376,456.50 : x
  2. Step 2: Convert to fraction form
    173,777.63/376,456.50 = 376,456.50/x
  3. Step 3: Cross multiply
    173,777.63x = 376,456.50 × 376,456.50
  4. Step 4: Simplify right side
    173,777.63x = 141,719,496,392.25
  5. Step 5: Solve for x
    x = 141,719,496,392.25/173,777.63
  6. Step 6: Final answer
    x = 815,522.12

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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.