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Finding the Third Proportional to 166,455 and 359,514

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Solution

The third proportional to 166,455 and 359,514 is: 776,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,455 : 359,514 = 359,514 : x
  2. Step 2: Convert to fraction form
    166,455/359,514 = 359,514/x
  3. Step 3: Cross multiply
    166,455x = 359,514 × 359,514
  4. Step 4: Simplify right side
    166,455x = 129,250,316,196
  5. Step 5: Solve for x
    x = 129,250,316,196/166,455
  6. Step 6: Final answer
    x = 776,488.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.