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Finding the Third Proportional to 164,329 and 336,445

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Solution

The third proportional to 164,329 and 336,445 is: 688,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,329 : 336,445 = 336,445 : x
  2. Step 2: Convert to fraction form
    164,329/336,445 = 336,445/x
  3. Step 3: Cross multiply
    164,329x = 336,445 × 336,445
  4. Step 4: Simplify right side
    164,329x = 113,195,238,025
  5. Step 5: Solve for x
    x = 113,195,238,025/164,329
  6. Step 6: Final answer
    x = 688,833.00

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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.