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Finding the Third Proportional to 163,469 and 341,887

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Solution

The third proportional to 163,469 and 341,887 is: 715,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,469 : 341,887 = 341,887 : x
  2. Step 2: Convert to fraction form
    163,469/341,887 = 341,887/x
  3. Step 3: Cross multiply
    163,469x = 341,887 × 341,887
  4. Step 4: Simplify right side
    163,469x = 116,886,720,769
  5. Step 5: Solve for x
    x = 116,886,720,769/163,469
  6. Step 6: Final answer
    x = 715,039.06

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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.