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Finding the Third Proportional to 112,358 and 240,268

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Solution

The third proportional to 112,358 and 240,268 is: 513,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,358 : 240,268 = 240,268 : x
  2. Step 2: Convert to fraction form
    112,358/240,268 = 240,268/x
  3. Step 3: Cross multiply
    112,358x = 240,268 × 240,268
  4. Step 4: Simplify right side
    112,358x = 57,728,711,824
  5. Step 5: Solve for x
    x = 57,728,711,824/112,358
  6. Step 6: Final answer
    x = 513,792.63

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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.