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Finding the Third Proportional to 164,025 and 356,508

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Solution

The third proportional to 164,025 and 356,508 is: 774,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025 : 356,508 = 356,508 : x
  2. Step 2: Convert to fraction form
    164,025/356,508 = 356,508/x
  3. Step 3: Cross multiply
    164,025x = 356,508 × 356,508
  4. Step 4: Simplify right side
    164,025x = 127,097,954,064
  5. Step 5: Solve for x
    x = 127,097,954,064/164,025
  6. Step 6: Final answer
    x = 774,869.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.