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Finding the Third Proportional to 112,968 and 240,948

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Solution

The third proportional to 112,968 and 240,948 is: 513,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,968 : 240,948 = 240,948 : x
  2. Step 2: Convert to fraction form
    112,968/240,948 = 240,948/x
  3. Step 3: Cross multiply
    112,968x = 240,948 × 240,948
  4. Step 4: Simplify right side
    112,968x = 58,055,938,704
  5. Step 5: Solve for x
    x = 58,055,938,704/112,968
  6. Step 6: Final answer
    x = 513,914.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.