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Finding the Third Proportional to 158,223 and 211,357.50

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Solution

The third proportional to 158,223 and 211,357.50 is: 282,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,223 : 211,357.50 = 211,357.50 : x
  2. Step 2: Convert to fraction form
    158,223/211,357.50 = 211,357.50/x
  3. Step 3: Cross multiply
    158,223x = 211,357.50 × 211,357.50
  4. Step 4: Simplify right side
    158,223x = 44,671,992,806.25
  5. Step 5: Solve for x
    x = 44,671,992,806.25/158,223
  6. Step 6: Final answer
    x = 282,335.65

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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.