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Finding the Third Proportional to 164,703 and 359,524

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Solution

The third proportional to 164,703 and 359,524 is: 784,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,703 : 359,524 = 359,524 : x
  2. Step 2: Convert to fraction form
    164,703/359,524 = 359,524/x
  3. Step 3: Cross multiply
    164,703x = 359,524 × 359,524
  4. Step 4: Simplify right side
    164,703x = 129,257,506,576
  5. Step 5: Solve for x
    x = 129,257,506,576/164,703
  6. Step 6: Final answer
    x = 784,791.45

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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.