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Finding the Third Proportional to 210,108 and 314,424

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Solution

The third proportional to 210,108 and 314,424 is: 470,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,108 : 314,424 = 314,424 : x
  2. Step 2: Convert to fraction form
    210,108/314,424 = 314,424/x
  3. Step 3: Cross multiply
    210,108x = 314,424 × 314,424
  4. Step 4: Simplify right side
    210,108x = 98,862,451,776
  5. Step 5: Solve for x
    x = 98,862,451,776/210,108
  6. Step 6: Final answer
    x = 470,531.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.