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Finding the Third Proportional to 237,672 and 371,088

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Solution

The third proportional to 237,672 and 371,088 is: 579,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,672 : 371,088 = 371,088 : x
  2. Step 2: Convert to fraction form
    237,672/371,088 = 371,088/x
  3. Step 3: Cross multiply
    237,672x = 371,088 × 371,088
  4. Step 4: Simplify right side
    237,672x = 137,706,303,744
  5. Step 5: Solve for x
    x = 137,706,303,744/237,672
  6. Step 6: Final answer
    x = 579,396.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.