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Finding the Third Proportional to 226,362 and 317,266.50

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Solution

The third proportional to 226,362 and 317,266.50 is: 444,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,362 : 317,266.50 = 317,266.50 : x
  2. Step 2: Convert to fraction form
    226,362/317,266.50 = 317,266.50/x
  3. Step 3: Cross multiply
    226,362x = 317,266.50 × 317,266.50
  4. Step 4: Simplify right side
    226,362x = 100,658,032,022.25
  5. Step 5: Solve for x
    x = 100,658,032,022.25/226,362
  6. Step 6: Final answer
    x = 444,677.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.