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Finding the Third Proportional to 252,672 and 347,136

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Solution

The third proportional to 252,672 and 347,136 is: 476,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,672 : 347,136 = 347,136 : x
  2. Step 2: Convert to fraction form
    252,672/347,136 = 347,136/x
  3. Step 3: Cross multiply
    252,672x = 347,136 × 347,136
  4. Step 4: Simplify right side
    252,672x = 120,503,402,496
  5. Step 5: Solve for x
    x = 120,503,402,496/252,672
  6. Step 6: Final answer
    x = 476,916.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.