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Finding the Third Proportional to 158,227.13 and 211,364.63

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Solution

The third proportional to 158,227.13 and 211,364.63 is: 282,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,227.13 : 211,364.63 = 211,364.63 : x
  2. Step 2: Convert to fraction form
    158,227.13/211,364.63 = 211,364.63/x
  3. Step 3: Cross multiply
    158,227.13x = 211,364.63 × 211,364.63
  4. Step 4: Simplify right side
    158,227.13x = 44,675,004,701.39
  5. Step 5: Solve for x
    x = 44,675,004,701.39/158,227.13
  6. Step 6: Final answer
    x = 282,347.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.