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Finding the Third Proportional to 176,324 and 415,889

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Solution

The third proportional to 176,324 and 415,889 is: 980,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324 : 415,889 = 415,889 : x
  2. Step 2: Convert to fraction form
    176,324/415,889 = 415,889/x
  3. Step 3: Cross multiply
    176,324x = 415,889 × 415,889
  4. Step 4: Simplify right side
    176,324x = 172,963,660,321
  5. Step 5: Solve for x
    x = 172,963,660,321/176,324
  6. Step 6: Final answer
    x = 980,942.24

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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.