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Finding the Third Proportional to 176,165 and 251,017

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Solution

The third proportional to 176,165 and 251,017 is: 357,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,165 : 251,017 = 251,017 : x
  2. Step 2: Convert to fraction form
    176,165/251,017 = 251,017/x
  3. Step 3: Cross multiply
    176,165x = 251,017 × 251,017
  4. Step 4: Simplify right side
    176,165x = 63,009,534,289
  5. Step 5: Solve for x
    x = 63,009,534,289/176,165
  6. Step 6: Final answer
    x = 357,673.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.