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Finding the Third Proportional to 152,032 and 351,917

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Solution

The third proportional to 152,032 and 351,917 is: 814,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,032 : 351,917 = 351,917 : x
  2. Step 2: Convert to fraction form
    152,032/351,917 = 351,917/x
  3. Step 3: Cross multiply
    152,032x = 351,917 × 351,917
  4. Step 4: Simplify right side
    152,032x = 123,845,574,889
  5. Step 5: Solve for x
    x = 123,845,574,889/152,032
  6. Step 6: Final answer
    x = 814,602.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.