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Finding the Third Proportional to 152,489.25 and 226,526.63

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Solution

The third proportional to 152,489.25 and 226,526.63 is: 336,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,489.25 : 226,526.63 = 226,526.63 : x
  2. Step 2: Convert to fraction form
    152,489.25/226,526.63 = 226,526.63/x
  3. Step 3: Cross multiply
    152,489.25x = 226,526.63 × 226,526.63
  4. Step 4: Simplify right side
    152,489.25x = 51,314,311,833.89
  5. Step 5: Solve for x
    x = 51,314,311,833.89/152,489.25
  6. Step 6: Final answer
    x = 336,511.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.