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Finding the Third Proportional to 226,744.50 and 334,927.50

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Solution

The third proportional to 226,744.50 and 334,927.50 is: 494,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,744.50 : 334,927.50 = 334,927.50 : x
  2. Step 2: Convert to fraction form
    226,744.50/334,927.50 = 334,927.50/x
  3. Step 3: Cross multiply
    226,744.50x = 334,927.50 × 334,927.50
  4. Step 4: Simplify right side
    226,744.50x = 112,176,430,256.25
  5. Step 5: Solve for x
    x = 112,176,430,256.25/226,744.50
  6. Step 6: Final answer
    x = 494,726.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.