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Finding the Third Proportional to 237,828 and 348,208

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Solution

The third proportional to 237,828 and 348,208 is: 509,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,828 : 348,208 = 348,208 : x
  2. Step 2: Convert to fraction form
    237,828/348,208 = 348,208/x
  3. Step 3: Cross multiply
    237,828x = 348,208 × 348,208
  4. Step 4: Simplify right side
    237,828x = 121,248,811,264
  5. Step 5: Solve for x
    x = 121,248,811,264/237,828
  6. Step 6: Final answer
    x = 509,817.23

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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.