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Finding the Third Proportional to 179,316 and 251,307

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Solution

The third proportional to 179,316 and 251,307 is: 352,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,316 : 251,307 = 251,307 : x
  2. Step 2: Convert to fraction form
    179,316/251,307 = 251,307/x
  3. Step 3: Cross multiply
    179,316x = 251,307 × 251,307
  4. Step 4: Simplify right side
    179,316x = 63,155,208,249
  5. Step 5: Solve for x
    x = 63,155,208,249/179,316
  6. Step 6: Final answer
    x = 352,200.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.