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Finding the Third Proportional to 231,300 and 362,924.25

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Solution

The third proportional to 231,300 and 362,924.25 is: 569,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,300 : 362,924.25 = 362,924.25 : x
  2. Step 2: Convert to fraction form
    231,300/362,924.25 = 362,924.25/x
  3. Step 3: Cross multiply
    231,300x = 362,924.25 × 362,924.25
  4. Step 4: Simplify right side
    231,300x = 131,714,011,238.06
  5. Step 5: Solve for x
    x = 131,714,011,238.06/231,300
  6. Step 6: Final answer
    x = 569,450.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.