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Finding the Third Proportional to 174,526.31 and 376,903.13

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Solution

The third proportional to 174,526.31 and 376,903.13 is: 813,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,526.31 : 376,903.13 = 376,903.13 : x
  2. Step 2: Convert to fraction form
    174,526.31/376,903.13 = 376,903.13/x
  3. Step 3: Cross multiply
    174,526.31x = 376,903.13 × 376,903.13
  4. Step 4: Simplify right side
    174,526.31x = 142,055,965,634.77
  5. Step 5: Solve for x
    x = 142,055,965,634.77/174,526.31
  6. Step 6: Final answer
    x = 813,951.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.