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Finding the Third Proportional to 208,008 and 294,313.50

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Solution

The third proportional to 208,008 and 294,313.50 is: 416,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008 : 294,313.50 = 294,313.50 : x
  2. Step 2: Convert to fraction form
    208,008/294,313.50 = 294,313.50/x
  3. Step 3: Cross multiply
    208,008x = 294,313.50 × 294,313.50
  4. Step 4: Simplify right side
    208,008x = 86,620,436,282.25
  5. Step 5: Solve for x
    x = 86,620,436,282.25/208,008
  6. Step 6: Final answer
    x = 416,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.