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Finding the Third Proportional to 164,417 and 358,589

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Solution

The third proportional to 164,417 and 358,589 is: 782,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,417 : 358,589 = 358,589 : x
  2. Step 2: Convert to fraction form
    164,417/358,589 = 358,589/x
  3. Step 3: Cross multiply
    164,417x = 358,589 × 358,589
  4. Step 4: Simplify right side
    164,417x = 128,586,070,921
  5. Step 5: Solve for x
    x = 128,586,070,921/164,417
  6. Step 6: Final answer
    x = 782,072.84

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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.