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Finding the Third Proportional to 176,266 and 251,271

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Solution

The third proportional to 176,266 and 251,271 is: 358,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,266 : 251,271 = 251,271 : x
  2. Step 2: Convert to fraction form
    176,266/251,271 = 251,271/x
  3. Step 3: Cross multiply
    176,266x = 251,271 × 251,271
  4. Step 4: Simplify right side
    176,266x = 63,137,115,441
  5. Step 5: Solve for x
    x = 63,137,115,441/176,266
  6. Step 6: Final answer
    x = 358,192.25

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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.