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Finding the Third Proportional to 113,466 and 241,284

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Solution

The third proportional to 113,466 and 241,284 is: 513,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,466 : 241,284 = 241,284 : x
  2. Step 2: Convert to fraction form
    113,466/241,284 = 241,284/x
  3. Step 3: Cross multiply
    113,466x = 241,284 × 241,284
  4. Step 4: Simplify right side
    113,466x = 58,217,968,656
  5. Step 5: Solve for x
    x = 58,217,968,656/113,466
  6. Step 6: Final answer
    x = 513,087.34

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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.