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Finding the Third Proportional to 150,498 and 226,292.63

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Solution

The third proportional to 150,498 and 226,292.63 is: 340,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,498 : 226,292.63 = 226,292.63 : x
  2. Step 2: Convert to fraction form
    150,498/226,292.63 = 226,292.63/x
  3. Step 3: Cross multiply
    150,498x = 226,292.63 × 226,292.63
  4. Step 4: Simplify right side
    150,498x = 51,208,352,129.39
  5. Step 5: Solve for x
    x = 51,208,352,129.39/150,498
  6. Step 6: Final answer
    x = 340,259.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.