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Finding the Third Proportional to 223,136 and 312,099

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Solution

The third proportional to 223,136 and 312,099 is: 436,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,136 : 312,099 = 312,099 : x
  2. Step 2: Convert to fraction form
    223,136/312,099 = 312,099/x
  3. Step 3: Cross multiply
    223,136x = 312,099 × 312,099
  4. Step 4: Simplify right side
    223,136x = 97,405,785,801
  5. Step 5: Solve for x
    x = 97,405,785,801/223,136
  6. Step 6: Final answer
    x = 436,531.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.