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Finding the Third Proportional to 181,064 and 391,261

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Solution

The third proportional to 181,064 and 391,261 is: 845,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,064 : 391,261 = 391,261 : x
  2. Step 2: Convert to fraction form
    181,064/391,261 = 391,261/x
  3. Step 3: Cross multiply
    181,064x = 391,261 × 391,261
  4. Step 4: Simplify right side
    181,064x = 153,085,170,121
  5. Step 5: Solve for x
    x = 153,085,170,121/181,064
  6. Step 6: Final answer
    x = 845,475.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.