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Finding the Third Proportional to 112,397 and 246,259

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Solution

The third proportional to 112,397 and 246,259 is: 539,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,397 : 246,259 = 246,259 : x
  2. Step 2: Convert to fraction form
    112,397/246,259 = 246,259/x
  3. Step 3: Cross multiply
    112,397x = 246,259 × 246,259
  4. Step 4: Simplify right side
    112,397x = 60,643,495,081
  5. Step 5: Solve for x
    x = 60,643,495,081/112,397
  6. Step 6: Final answer
    x = 539,547.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.