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Finding the Third Proportional to 112,368 and 241,411

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Solution

The third proportional to 112,368 and 241,411 is: 518,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,368 : 241,411 = 241,411 : x
  2. Step 2: Convert to fraction form
    112,368/241,411 = 241,411/x
  3. Step 3: Cross multiply
    112,368x = 241,411 × 241,411
  4. Step 4: Simplify right side
    112,368x = 58,279,270,921
  5. Step 5: Solve for x
    x = 58,279,270,921/112,368
  6. Step 6: Final answer
    x = 518,646.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.