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Finding the Third Proportional to 233,654 and 355,101

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Solution

The third proportional to 233,654 and 355,101 is: 539,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,654 : 355,101 = 355,101 : x
  2. Step 2: Convert to fraction form
    233,654/355,101 = 355,101/x
  3. Step 3: Cross multiply
    233,654x = 355,101 × 355,101
  4. Step 4: Simplify right side
    233,654x = 126,096,720,201
  5. Step 5: Solve for x
    x = 126,096,720,201/233,654
  6. Step 6: Final answer
    x = 539,672.85

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Why These Related Problems?

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