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Finding the Third Proportional to 164,824.88 and 338,387.63

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Solution

The third proportional to 164,824.88 and 338,387.63 is: 694,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,824.88 : 338,387.63 = 338,387.63 : x
  2. Step 2: Convert to fraction form
    164,824.88/338,387.63 = 338,387.63/x
  3. Step 3: Cross multiply
    164,824.88x = 338,387.63 × 338,387.63
  4. Step 4: Simplify right side
    164,824.88x = 114,506,184,753.14
  5. Step 5: Solve for x
    x = 114,506,184,753.14/164,824.88
  6. Step 6: Final answer
    x = 694,714.22

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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.