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Finding the Third Proportional to 182,559 and 265,738.50

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Solution

The third proportional to 182,559 and 265,738.50 is: 386,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,559 : 265,738.50 = 265,738.50 : x
  2. Step 2: Convert to fraction form
    182,559/265,738.50 = 265,738.50/x
  3. Step 3: Cross multiply
    182,559x = 265,738.50 × 265,738.50
  4. Step 4: Simplify right side
    182,559x = 70,616,950,382.25
  5. Step 5: Solve for x
    x = 70,616,950,382.25/182,559
  6. Step 6: Final answer
    x = 386,817.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.