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Finding the Third Proportional to 164,085 and 356,574

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Solution

The third proportional to 164,085 and 356,574 is: 774,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,085 : 356,574 = 356,574 : x
  2. Step 2: Convert to fraction form
    164,085/356,574 = 356,574/x
  3. Step 3: Cross multiply
    164,085x = 356,574 × 356,574
  4. Step 4: Simplify right side
    164,085x = 127,145,017,476
  5. Step 5: Solve for x
    x = 127,145,017,476/164,085
  6. Step 6: Final answer
    x = 774,872.89

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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.