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Finding the Third Proportional to 147,274.50 and 226,653

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Solution

The third proportional to 147,274.50 and 226,653 is: 348,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274.50 : 226,653 = 226,653 : x
  2. Step 2: Convert to fraction form
    147,274.50/226,653 = 226,653/x
  3. Step 3: Cross multiply
    147,274.50x = 226,653 × 226,653
  4. Step 4: Simplify right side
    147,274.50x = 51,371,582,409
  5. Step 5: Solve for x
    x = 51,371,582,409/147,274.50
  6. Step 6: Final answer
    x = 348,815.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.