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Finding the Third Proportional to 173,062.50 and 252,789

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Solution

The third proportional to 173,062.50 and 252,789 is: 369,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,062.50 : 252,789 = 252,789 : x
  2. Step 2: Convert to fraction form
    173,062.50/252,789 = 252,789/x
  3. Step 3: Cross multiply
    173,062.50x = 252,789 × 252,789
  4. Step 4: Simplify right side
    173,062.50x = 63,902,278,521
  5. Step 5: Solve for x
    x = 63,902,278,521/173,062.50
  6. Step 6: Final answer
    x = 369,243.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.