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Finding the Third Proportional to 164,306 and 354,844

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Solution

The third proportional to 164,306 and 354,844 is: 766,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,306 : 354,844 = 354,844 : x
  2. Step 2: Convert to fraction form
    164,306/354,844 = 354,844/x
  3. Step 3: Cross multiply
    164,306x = 354,844 × 354,844
  4. Step 4: Simplify right side
    164,306x = 125,914,264,336
  5. Step 5: Solve for x
    x = 125,914,264,336/164,306
  6. Step 6: Final answer
    x = 766,340.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.