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Finding the Third Proportional to 233,646 and 355,089

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Solution

The third proportional to 233,646 and 355,089 is: 539,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,646 : 355,089 = 355,089 : x
  2. Step 2: Convert to fraction form
    233,646/355,089 = 355,089/x
  3. Step 3: Cross multiply
    233,646x = 355,089 × 355,089
  4. Step 4: Simplify right side
    233,646x = 126,088,197,921
  5. Step 5: Solve for x
    x = 126,088,197,921/233,646
  6. Step 6: Final answer
    x = 539,654.85

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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.