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Finding the Third Proportional to 233,124.75 and 354,246.75

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Solution

The third proportional to 233,124.75 and 354,246.75 is: 538,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,124.75 : 354,246.75 = 354,246.75 : x
  2. Step 2: Convert to fraction form
    233,124.75/354,246.75 = 354,246.75/x
  3. Step 3: Cross multiply
    233,124.75x = 354,246.75 × 354,246.75
  4. Step 4: Simplify right side
    233,124.75x = 125,490,759,885.56
  5. Step 5: Solve for x
    x = 125,490,759,885.56/233,124.75
  6. Step 6: Final answer
    x = 538,298.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.