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Finding the Third Proportional to 112,590 and 240,912

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Solution

The third proportional to 112,590 and 240,912 is: 515,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,590 : 240,912 = 240,912 : x
  2. Step 2: Convert to fraction form
    112,590/240,912 = 240,912/x
  3. Step 3: Cross multiply
    112,590x = 240,912 × 240,912
  4. Step 4: Simplify right side
    112,590x = 58,038,591,744
  5. Step 5: Solve for x
    x = 58,038,591,744/112,590
  6. Step 6: Final answer
    x = 515,486.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.