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Finding the Third Proportional to 160,190 and 240,285

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Solution

The third proportional to 160,190 and 240,285 is: 360,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,190 : 240,285 = 240,285 : x
  2. Step 2: Convert to fraction form
    160,190/240,285 = 240,285/x
  3. Step 3: Cross multiply
    160,190x = 240,285 × 240,285
  4. Step 4: Simplify right side
    160,190x = 57,736,881,225
  5. Step 5: Solve for x
    x = 57,736,881,225/160,190
  6. Step 6: Final answer
    x = 360,427.50

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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.