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Finding the Third Proportional to 208,130 and 490,757

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Solution

The third proportional to 208,130 and 490,757 is: 1,157,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,130 : 490,757 = 490,757 : x
  2. Step 2: Convert to fraction form
    208,130/490,757 = 490,757/x
  3. Step 3: Cross multiply
    208,130x = 490,757 × 490,757
  4. Step 4: Simplify right side
    208,130x = 240,842,433,049
  5. Step 5: Solve for x
    x = 240,842,433,049/208,130
  6. Step 6: Final answer
    x = 1,157,173.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.