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Finding the Third Proportional to 154,564.88 and 336,347.63

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Solution

The third proportional to 154,564.88 and 336,347.63 is: 731,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,564.88 : 336,347.63 = 336,347.63 : x
  2. Step 2: Convert to fraction form
    154,564.88/336,347.63 = 336,347.63/x
  3. Step 3: Cross multiply
    154,564.88x = 336,347.63 × 336,347.63
  4. Step 4: Simplify right side
    154,564.88x = 113,129,724,843.14
  5. Step 5: Solve for x
    x = 113,129,724,843.14/154,564.88
  6. Step 6: Final answer
    x = 731,923.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.