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Finding the Third Proportional to 210,848 and 337,232

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Solution

The third proportional to 210,848 and 337,232 is: 539,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,848 : 337,232 = 337,232 : x
  2. Step 2: Convert to fraction form
    210,848/337,232 = 337,232/x
  3. Step 3: Cross multiply
    210,848x = 337,232 × 337,232
  4. Step 4: Simplify right side
    210,848x = 113,725,421,824
  5. Step 5: Solve for x
    x = 113,725,421,824/210,848
  6. Step 6: Final answer
    x = 539,371.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.