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Finding the Third Proportional to 157,769.25 and 347,090.63

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Solution

The third proportional to 157,769.25 and 347,090.63 is: 763,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,769.25 : 347,090.63 = 347,090.63 : x
  2. Step 2: Convert to fraction form
    157,769.25/347,090.63 = 347,090.63/x
  3. Step 3: Cross multiply
    157,769.25x = 347,090.63 × 347,090.63
  4. Step 4: Simplify right side
    157,769.25x = 120,471,901,962.89
  5. Step 5: Solve for x
    x = 120,471,901,962.89/157,769.25
  6. Step 6: Final answer
    x = 763,595.58

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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.