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Finding the Third Proportional to 90,054 and 208,476

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Solution

The third proportional to 90,054 and 208,476 is: 482,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,054 : 208,476 = 208,476 : x
  2. Step 2: Convert to fraction form
    90,054/208,476 = 208,476/x
  3. Step 3: Cross multiply
    90,054x = 208,476 × 208,476
  4. Step 4: Simplify right side
    90,054x = 43,462,242,576
  5. Step 5: Solve for x
    x = 43,462,242,576/90,054
  6. Step 6: Final answer
    x = 482,624.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.