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Finding the Third Proportional to 187,253 and 400,750

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Solution

The third proportional to 187,253 and 400,750 is: 857,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,253 : 400,750 = 400,750 : x
  2. Step 2: Convert to fraction form
    187,253/400,750 = 400,750/x
  3. Step 3: Cross multiply
    187,253x = 400,750 × 400,750
  4. Step 4: Simplify right side
    187,253x = 160,600,562,500
  5. Step 5: Solve for x
    x = 160,600,562,500/187,253
  6. Step 6: Final answer
    x = 857,666.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.