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Finding the Third Proportional to 79,032 and 186,558

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Solution

The third proportional to 79,032 and 186,558 is: 440,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,032 : 186,558 = 186,558 : x
  2. Step 2: Convert to fraction form
    79,032/186,558 = 186,558/x
  3. Step 3: Cross multiply
    79,032x = 186,558 × 186,558
  4. Step 4: Simplify right side
    79,032x = 34,803,887,364
  5. Step 5: Solve for x
    x = 34,803,887,364/79,032
  6. Step 6: Final answer
    x = 440,377.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.