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Finding the Third Proportional to 123,228 and 176,222

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Solution

The third proportional to 123,228 and 176,222 is: 252,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,228 : 176,222 = 176,222 : x
  2. Step 2: Convert to fraction form
    123,228/176,222 = 176,222/x
  3. Step 3: Cross multiply
    123,228x = 176,222 × 176,222
  4. Step 4: Simplify right side
    123,228x = 31,054,193,284
  5. Step 5: Solve for x
    x = 31,054,193,284/123,228
  6. Step 6: Final answer
    x = 252,005.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.