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Finding the Third Proportional to 187,341 and 285,705

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Solution

The third proportional to 187,341 and 285,705 is: 435,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,341 : 285,705 = 285,705 : x
  2. Step 2: Convert to fraction form
    187,341/285,705 = 285,705/x
  3. Step 3: Cross multiply
    187,341x = 285,705 × 285,705
  4. Step 4: Simplify right side
    187,341x = 81,627,347,025
  5. Step 5: Solve for x
    x = 81,627,347,025/187,341
  6. Step 6: Final answer
    x = 435,715.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.