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Finding the Third Proportional to 174,933 and 376,763.06

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Solution

The third proportional to 174,933 and 376,763.06 is: 811,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,933 : 376,763.06 = 376,763.06 : x
  2. Step 2: Convert to fraction form
    174,933/376,763.06 = 376,763.06/x
  3. Step 3: Cross multiply
    174,933x = 376,763.06 × 376,763.06
  4. Step 4: Simplify right side
    174,933x = 141,950,405,264.38
  5. Step 5: Solve for x
    x = 141,950,405,264.38/174,933
  6. Step 6: Final answer
    x = 811,455.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.