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Finding the Third Proportional to 157,769 and 347,090.06

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Solution

The third proportional to 157,769 and 347,090.06 is: 763,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,769 : 347,090.06 = 347,090.06 : x
  2. Step 2: Convert to fraction form
    157,769/347,090.06 = 347,090.06/x
  3. Step 3: Cross multiply
    157,769x = 347,090.06 × 347,090.06
  4. Step 4: Simplify right side
    157,769x = 120,471,511,486.25
  5. Step 5: Solve for x
    x = 120,471,511,486.25/157,769
  6. Step 6: Final answer
    x = 763,594.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.