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Finding the Third Proportional to 164,154.09 and 353,637.14

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Solution

The third proportional to 164,154.09 and 353,637.14 is: 761,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,154.09 : 353,637.14 = 353,637.14 : x
  2. Step 2: Convert to fraction form
    164,154.09/353,637.14 = 353,637.14/x
  3. Step 3: Cross multiply
    164,154.09x = 353,637.14 × 353,637.14
  4. Step 4: Simplify right side
    164,154.09x = 125,059,227,229.43
  5. Step 5: Solve for x
    x = 125,059,227,229.43/164,154.09
  6. Step 6: Final answer
    x = 761,840.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.