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Finding the Third Proportional to 176,196 and 251,172

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Solution

The third proportional to 176,196 and 251,172 is: 358,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196 : 251,172 = 251,172 : x
  2. Step 2: Convert to fraction form
    176,196/251,172 = 251,172/x
  3. Step 3: Cross multiply
    176,196x = 251,172 × 251,172
  4. Step 4: Simplify right side
    176,196x = 63,087,373,584
  5. Step 5: Solve for x
    x = 63,087,373,584/176,196
  6. Step 6: Final answer
    x = 358,052.25

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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.