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Finding the Third Proportional to 187,174 and 409,340

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Solution

The third proportional to 187,174 and 409,340 is: 895,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,174 : 409,340 = 409,340 : x
  2. Step 2: Convert to fraction form
    187,174/409,340 = 409,340/x
  3. Step 3: Cross multiply
    187,174x = 409,340 × 409,340
  4. Step 4: Simplify right side
    187,174x = 167,559,235,600
  5. Step 5: Solve for x
    x = 167,559,235,600/187,174
  6. Step 6: Final answer
    x = 895,205.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.