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Finding the Third Proportional to 112,352 and 259,440

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Solution

The third proportional to 112,352 and 259,440 is: 599,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,352 : 259,440 = 259,440 : x
  2. Step 2: Convert to fraction form
    112,352/259,440 = 259,440/x
  3. Step 3: Cross multiply
    112,352x = 259,440 × 259,440
  4. Step 4: Simplify right side
    112,352x = 67,309,113,600
  5. Step 5: Solve for x
    x = 67,309,113,600/112,352
  6. Step 6: Final answer
    x = 599,091.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.