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Finding the Third Proportional to 164,323 and 336,433

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Solution

The third proportional to 164,323 and 336,433 is: 688,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,323 : 336,433 = 336,433 : x
  2. Step 2: Convert to fraction form
    164,323/336,433 = 336,433/x
  3. Step 3: Cross multiply
    164,323x = 336,433 × 336,433
  4. Step 4: Simplify right side
    164,323x = 113,187,163,489
  5. Step 5: Solve for x
    x = 113,187,163,489/164,323
  6. Step 6: Final answer
    x = 688,809.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.