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Finding the Third Proportional to 165,011 and 359,650

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Solution

The third proportional to 165,011 and 359,650 is: 783,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,011 : 359,650 = 359,650 : x
  2. Step 2: Convert to fraction form
    165,011/359,650 = 359,650/x
  3. Step 3: Cross multiply
    165,011x = 359,650 × 359,650
  4. Step 4: Simplify right side
    165,011x = 129,348,122,500
  5. Step 5: Solve for x
    x = 129,348,122,500/165,011
  6. Step 6: Final answer
    x = 783,875.76

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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.