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Finding the Third Proportional to 165,614 and 359,236

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Solution

The third proportional to 165,614 and 359,236 is: 779,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,614 : 359,236 = 359,236 : x
  2. Step 2: Convert to fraction form
    165,614/359,236 = 359,236/x
  3. Step 3: Cross multiply
    165,614x = 359,236 × 359,236
  4. Step 4: Simplify right side
    165,614x = 129,050,503,696
  5. Step 5: Solve for x
    x = 129,050,503,696/165,614
  6. Step 6: Final answer
    x = 779,224.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.