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Finding the Third Proportional to 237,676 and 371,094

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Solution

The third proportional to 237,676 and 371,094 is: 579,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,676 : 371,094 = 371,094 : x
  2. Step 2: Convert to fraction form
    237,676/371,094 = 371,094/x
  3. Step 3: Cross multiply
    237,676x = 371,094 × 371,094
  4. Step 4: Simplify right side
    237,676x = 137,710,756,836
  5. Step 5: Solve for x
    x = 137,710,756,836/237,676
  6. Step 6: Final answer
    x = 579,405.40

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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.