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Finding the Third Proportional to 151,952 and 235,893

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Solution

The third proportional to 151,952 and 235,893 is: 366,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,952 : 235,893 = 235,893 : x
  2. Step 2: Convert to fraction form
    151,952/235,893 = 235,893/x
  3. Step 3: Cross multiply
    151,952x = 235,893 × 235,893
  4. Step 4: Simplify right side
    151,952x = 55,645,507,449
  5. Step 5: Solve for x
    x = 55,645,507,449/151,952
  6. Step 6: Final answer
    x = 366,204.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.