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Finding the Third Proportional to 164,452 and 359,341

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Solution

The third proportional to 164,452 and 359,341 is: 785,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,452 : 359,341 = 359,341 : x
  2. Step 2: Convert to fraction form
    164,452/359,341 = 359,341/x
  3. Step 3: Cross multiply
    164,452x = 359,341 × 359,341
  4. Step 4: Simplify right side
    164,452x = 129,125,954,281
  5. Step 5: Solve for x
    x = 129,125,954,281/164,452
  6. Step 6: Final answer
    x = 785,189.32

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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.