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Finding the Third Proportional to 164,704 and 359,527

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Solution

The third proportional to 164,704 and 359,527 is: 784,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,704 : 359,527 = 359,527 : x
  2. Step 2: Convert to fraction form
    164,704/359,527 = 359,527/x
  3. Step 3: Cross multiply
    164,704x = 359,527 × 359,527
  4. Step 4: Simplify right side
    164,704x = 129,259,663,729
  5. Step 5: Solve for x
    x = 129,259,663,729/164,704
  6. Step 6: Final answer
    x = 784,799.78

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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.