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Finding the Third Proportional to 235,980 and 361,152

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Solution

The third proportional to 235,980 and 361,152 is: 552,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,980 : 361,152 = 361,152 : x
  2. Step 2: Convert to fraction form
    235,980/361,152 = 361,152/x
  3. Step 3: Cross multiply
    235,980x = 361,152 × 361,152
  4. Step 4: Simplify right side
    235,980x = 130,430,767,104
  5. Step 5: Solve for x
    x = 130,430,767,104/235,980
  6. Step 6: Final answer
    x = 552,719.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.