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Finding the Third Proportional to 163,044 and 336,564

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Solution

The third proportional to 163,044 and 336,564 is: 694,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,044 : 336,564 = 336,564 : x
  2. Step 2: Convert to fraction form
    163,044/336,564 = 336,564/x
  3. Step 3: Cross multiply
    163,044x = 336,564 × 336,564
  4. Step 4: Simplify right side
    163,044x = 113,275,326,096
  5. Step 5: Solve for x
    x = 113,275,326,096/163,044
  6. Step 6: Final answer
    x = 694,753.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.