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Finding the Third Proportional to 233,500 and 341,921

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Solution

The third proportional to 233,500 and 341,921 is: 500,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,500 : 341,921 = 341,921 : x
  2. Step 2: Convert to fraction form
    233,500/341,921 = 341,921/x
  3. Step 3: Cross multiply
    233,500x = 341,921 × 341,921
  4. Step 4: Simplify right side
    233,500x = 116,909,970,241
  5. Step 5: Solve for x
    x = 116,909,970,241/233,500
  6. Step 6: Final answer
    x = 500,685.10

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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.