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Finding the Third Proportional to 163,024 and 336,524

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Solution

The third proportional to 163,024 and 336,524 is: 694,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,024 : 336,524 = 336,524 : x
  2. Step 2: Convert to fraction form
    163,024/336,524 = 336,524/x
  3. Step 3: Cross multiply
    163,024x = 336,524 × 336,524
  4. Step 4: Simplify right side
    163,024x = 113,248,402,576
  5. Step 5: Solve for x
    x = 113,248,402,576/163,024
  6. Step 6: Final answer
    x = 694,673.19

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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.