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Finding the Third Proportional to 167,514 and 364,559

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Solution

The third proportional to 167,514 and 364,559 is: 793,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,514 : 364,559 = 364,559 : x
  2. Step 2: Convert to fraction form
    167,514/364,559 = 364,559/x
  3. Step 3: Cross multiply
    167,514x = 364,559 × 364,559
  4. Step 4: Simplify right side
    167,514x = 132,903,264,481
  5. Step 5: Solve for x
    x = 132,903,264,481/167,514
  6. Step 6: Final answer
    x = 793,386.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.