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Finding the Third Proportional to 164,697 and 359,512

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Solution

The third proportional to 164,697 and 359,512 is: 784,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,697 : 359,512 = 359,512 : x
  2. Step 2: Convert to fraction form
    164,697/359,512 = 359,512/x
  3. Step 3: Cross multiply
    164,697x = 359,512 × 359,512
  4. Step 4: Simplify right side
    164,697x = 129,248,878,144
  5. Step 5: Solve for x
    x = 129,248,878,144/164,697
  6. Step 6: Final answer
    x = 784,767.65

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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.