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Finding the Third Proportional to 116,346 and 248,236

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Solution

The third proportional to 116,346 and 248,236 is: 529,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,346 : 248,236 = 248,236 : x
  2. Step 2: Convert to fraction form
    116,346/248,236 = 248,236/x
  3. Step 3: Cross multiply
    116,346x = 248,236 × 248,236
  4. Step 4: Simplify right side
    116,346x = 61,621,111,696
  5. Step 5: Solve for x
    x = 61,621,111,696/116,346
  6. Step 6: Final answer
    x = 529,636.70

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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.