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Finding the Third Proportional to 164,763 and 359,598

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Solution

The third proportional to 164,763 and 359,598 is: 784,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,763 : 359,598 = 359,598 : x
  2. Step 2: Convert to fraction form
    164,763/359,598 = 359,598/x
  3. Step 3: Cross multiply
    164,763x = 359,598 × 359,598
  4. Step 4: Simplify right side
    164,763x = 129,310,721,604
  5. Step 5: Solve for x
    x = 129,310,721,604/164,763
  6. Step 6: Final answer
    x = 784,828.64

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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.