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Finding the Third Proportional to 240,760 and 361,152

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Solution

The third proportional to 240,760 and 361,152 is: 541,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,760 : 361,152 = 361,152 : x
  2. Step 2: Convert to fraction form
    240,760/361,152 = 361,152/x
  3. Step 3: Cross multiply
    240,760x = 361,152 × 361,152
  4. Step 4: Simplify right side
    240,760x = 130,430,767,104
  5. Step 5: Solve for x
    x = 130,430,767,104/240,760
  6. Step 6: Final answer
    x = 541,746.00

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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.