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Finding the Third Proportional to 90,300 and 207,678

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Solution

The third proportional to 90,300 and 207,678 is: 477,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,300 : 207,678 = 207,678 : x
  2. Step 2: Convert to fraction form
    90,300/207,678 = 207,678/x
  3. Step 3: Cross multiply
    90,300x = 207,678 × 207,678
  4. Step 4: Simplify right side
    90,300x = 43,130,151,684
  5. Step 5: Solve for x
    x = 43,130,151,684/90,300
  6. Step 6: Final answer
    x = 477,631.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.