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Finding the Third Proportional to 164,442 and 341,844

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Solution

The third proportional to 164,442 and 341,844 is: 710,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,442 : 341,844 = 341,844 : x
  2. Step 2: Convert to fraction form
    164,442/341,844 = 341,844/x
  3. Step 3: Cross multiply
    164,442x = 341,844 × 341,844
  4. Step 4: Simplify right side
    164,442x = 116,857,320,336
  5. Step 5: Solve for x
    x = 116,857,320,336/164,442
  6. Step 6: Final answer
    x = 710,629.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.