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Finding the Third Proportional to 164,050 and 353,706

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Solution

The third proportional to 164,050 and 353,706 is: 762,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,050 : 353,706 = 353,706 : x
  2. Step 2: Convert to fraction form
    164,050/353,706 = 353,706/x
  3. Step 3: Cross multiply
    164,050x = 353,706 × 353,706
  4. Step 4: Simplify right side
    164,050x = 125,107,934,436
  5. Step 5: Solve for x
    x = 125,107,934,436/164,050
  6. Step 6: Final answer
    x = 762,620.75

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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.