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Finding the Third Proportional to 163,247 and 341,254

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Solution

The third proportional to 163,247 and 341,254 is: 713,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,247 : 341,254 = 341,254 : x
  2. Step 2: Convert to fraction form
    163,247/341,254 = 341,254/x
  3. Step 3: Cross multiply
    163,247x = 341,254 × 341,254
  4. Step 4: Simplify right side
    163,247x = 116,454,292,516
  5. Step 5: Solve for x
    x = 116,454,292,516/163,247
  6. Step 6: Final answer
    x = 713,362.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.