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Finding the Third Proportional to 237,832 and 348,864

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Solution

The third proportional to 237,832 and 348,864 is: 511,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,832 : 348,864 = 348,864 : x
  2. Step 2: Convert to fraction form
    237,832/348,864 = 348,864/x
  3. Step 3: Cross multiply
    237,832x = 348,864 × 348,864
  4. Step 4: Simplify right side
    237,832x = 121,706,090,496
  5. Step 5: Solve for x
    x = 121,706,090,496/237,832
  6. Step 6: Final answer
    x = 511,731.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.