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Finding the Third Proportional to 176,222 and 251,211

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Solution

The third proportional to 176,222 and 251,211 is: 358,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,222 : 251,211 = 251,211 : x
  2. Step 2: Convert to fraction form
    176,222/251,211 = 251,211/x
  3. Step 3: Cross multiply
    176,222x = 251,211 × 251,211
  4. Step 4: Simplify right side
    176,222x = 63,106,966,521
  5. Step 5: Solve for x
    x = 63,106,966,521/176,222
  6. Step 6: Final answer
    x = 358,110.60

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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.