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Finding the Third Proportional to 164,317.50 and 336,423

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Solution

The third proportional to 164,317.50 and 336,423 is: 688,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,317.50 : 336,423 = 336,423 : x
  2. Step 2: Convert to fraction form
    164,317.50/336,423 = 336,423/x
  3. Step 3: Cross multiply
    164,317.50x = 336,423 × 336,423
  4. Step 4: Simplify right side
    164,317.50x = 113,180,434,929
  5. Step 5: Solve for x
    x = 113,180,434,929/164,317.50
  6. Step 6: Final answer
    x = 688,791.12

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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.