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Finding the Third Proportional to 233,493 and 341,911.50

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Solution

The third proportional to 233,493 and 341,911.50 is: 500,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,493 : 341,911.50 = 341,911.50 : x
  2. Step 2: Convert to fraction form
    233,493/341,911.50 = 341,911.50/x
  3. Step 3: Cross multiply
    233,493x = 341,911.50 × 341,911.50
  4. Step 4: Simplify right side
    233,493x = 116,903,473,832.25
  5. Step 5: Solve for x
    x = 116,903,473,832.25/233,493
  6. Step 6: Final answer
    x = 500,672.28

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