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Finding the Third Proportional to 176,148 and 415,742

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Solution

The third proportional to 176,148 and 415,742 is: 981,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,148 : 415,742 = 415,742 : x
  2. Step 2: Convert to fraction form
    176,148/415,742 = 415,742/x
  3. Step 3: Cross multiply
    176,148x = 415,742 × 415,742
  4. Step 4: Simplify right side
    176,148x = 172,841,410,564
  5. Step 5: Solve for x
    x = 172,841,410,564/176,148
  6. Step 6: Final answer
    x = 981,228.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.