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Finding the Third Proportional to 164,027 and 359,446

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Solution

The third proportional to 164,027 and 359,446 is: 787,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,027 : 359,446 = 359,446 : x
  2. Step 2: Convert to fraction form
    164,027/359,446 = 359,446/x
  3. Step 3: Cross multiply
    164,027x = 359,446 × 359,446
  4. Step 4: Simplify right side
    164,027x = 129,201,426,916
  5. Step 5: Solve for x
    x = 129,201,426,916/164,027
  6. Step 6: Final answer
    x = 787,683.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.