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Finding the Third Proportional to 115,402.50 and 182,579.63

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Solution

The third proportional to 115,402.50 and 182,579.63 is: 288,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,402.50 : 182,579.63 = 182,579.63 : x
  2. Step 2: Convert to fraction form
    115,402.50/182,579.63 = 182,579.63/x
  3. Step 3: Cross multiply
    115,402.50x = 182,579.63 × 182,579.63
  4. Step 4: Simplify right side
    115,402.50x = 33,335,319,465.14
  5. Step 5: Solve for x
    x = 33,335,319,465.14/115,402.50
  6. Step 6: Final answer
    x = 288,861.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.