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Finding the Third Proportional to 116,258 and 246,352

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Solution

The third proportional to 116,258 and 246,352 is: 522,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,258 : 246,352 = 246,352 : x
  2. Step 2: Convert to fraction form
    116,258/246,352 = 246,352/x
  3. Step 3: Cross multiply
    116,258x = 246,352 × 246,352
  4. Step 4: Simplify right side
    116,258x = 60,689,307,904
  5. Step 5: Solve for x
    x = 60,689,307,904/116,258
  6. Step 6: Final answer
    x = 522,022.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.