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Finding the Third Proportional to 235,146 and 336,125

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Solution

The third proportional to 235,146 and 336,125 is: 480,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,146 : 336,125 = 336,125 : x
  2. Step 2: Convert to fraction form
    235,146/336,125 = 336,125/x
  3. Step 3: Cross multiply
    235,146x = 336,125 × 336,125
  4. Step 4: Simplify right side
    235,146x = 112,980,015,625
  5. Step 5: Solve for x
    x = 112,980,015,625/235,146
  6. Step 6: Final answer
    x = 480,467.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.