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Finding the Third Proportional to 157,032 and 348,893

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Solution

The third proportional to 157,032 and 348,893 is: 775,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,032 : 348,893 = 348,893 : x
  2. Step 2: Convert to fraction form
    157,032/348,893 = 348,893/x
  3. Step 3: Cross multiply
    157,032x = 348,893 × 348,893
  4. Step 4: Simplify right side
    157,032x = 121,726,325,449
  5. Step 5: Solve for x
    x = 121,726,325,449/157,032
  6. Step 6: Final answer
    x = 775,168.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.