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Finding the Third Proportional to 261,204.75 and 417,069

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Solution

The third proportional to 261,204.75 and 417,069 is: 665,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,204.75 : 417,069 = 417,069 : x
  2. Step 2: Convert to fraction form
    261,204.75/417,069 = 417,069/x
  3. Step 3: Cross multiply
    261,204.75x = 417,069 × 417,069
  4. Step 4: Simplify right side
    261,204.75x = 173,946,550,761
  5. Step 5: Solve for x
    x = 173,946,550,761/261,204.75
  6. Step 6: Final answer
    x = 665,939.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.