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Finding the Third Proportional to 237,816 and 348,192

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Solution

The third proportional to 237,816 and 348,192 is: 509,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,816 : 348,192 = 348,192 : x
  2. Step 2: Convert to fraction form
    237,816/348,192 = 348,192/x
  3. Step 3: Cross multiply
    237,816x = 348,192 × 348,192
  4. Step 4: Simplify right side
    237,816x = 121,237,668,864
  5. Step 5: Solve for x
    x = 121,237,668,864/237,816
  6. Step 6: Final answer
    x = 509,796.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.