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Finding the Third Proportional to 158,773 and 216,223

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Solution

The third proportional to 158,773 and 216,223 is: 294,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,773 : 216,223 = 216,223 : x
  2. Step 2: Convert to fraction form
    158,773/216,223 = 216,223/x
  3. Step 3: Cross multiply
    158,773x = 216,223 × 216,223
  4. Step 4: Simplify right side
    158,773x = 46,752,385,729
  5. Step 5: Solve for x
    x = 46,752,385,729/158,773
  6. Step 6: Final answer
    x = 294,460.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.