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Finding the Third Proportional to 234,327.94 and 354,774.94

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Solution

The third proportional to 234,327.94 and 354,774.94 is: 537,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,327.94 : 354,774.94 = 354,774.94 : x
  2. Step 2: Convert to fraction form
    234,327.94/354,774.94 = 354,774.94/x
  3. Step 3: Cross multiply
    234,327.94x = 354,774.94 × 354,774.94
  4. Step 4: Simplify right side
    234,327.94x = 125,865,256,278.13
  5. Step 5: Solve for x
    x = 125,865,256,278.13/234,327.94
  6. Step 6: Final answer
    x = 537,132.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.