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Finding the Third Proportional to 233,772.75 and 341,911.13

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Solution

The third proportional to 233,772.75 and 341,911.13 is: 500,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,772.75 : 341,911.13 = 341,911.13 : x
  2. Step 2: Convert to fraction form
    233,772.75/341,911.13 = 341,911.13/x
  3. Step 3: Cross multiply
    233,772.75x = 341,911.13 × 341,911.13
  4. Step 4: Simplify right side
    233,772.75x = 116,903,217,398.77
  5. Step 5: Solve for x
    x = 116,903,217,398.77/233,772.75
  6. Step 6: Final answer
    x = 500,072.05

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Why These Related Problems?

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