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Finding the Third Proportional to 187,175 and 409,342

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Solution

The third proportional to 187,175 and 409,342 is: 895,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,175 : 409,342 = 409,342 : x
  2. Step 2: Convert to fraction form
    187,175/409,342 = 409,342/x
  3. Step 3: Cross multiply
    187,175x = 409,342 × 409,342
  4. Step 4: Simplify right side
    187,175x = 167,560,872,964
  5. Step 5: Solve for x
    x = 167,560,872,964/187,175
  6. Step 6: Final answer
    x = 895,209.69

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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.