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Finding the Third Proportional to 85,441 and 187,335

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Solution

The third proportional to 85,441 and 187,335 is: 410,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,441 : 187,335 = 187,335 : x
  2. Step 2: Convert to fraction form
    85,441/187,335 = 187,335/x
  3. Step 3: Cross multiply
    85,441x = 187,335 × 187,335
  4. Step 4: Simplify right side
    85,441x = 35,094,402,225
  5. Step 5: Solve for x
    x = 35,094,402,225/85,441
  6. Step 6: Final answer
    x = 410,744.28

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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.