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Finding the Third Proportional to 164,348 and 354,886

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Solution

The third proportional to 164,348 and 354,886 is: 766,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,348 : 354,886 = 354,886 : x
  2. Step 2: Convert to fraction form
    164,348/354,886 = 354,886/x
  3. Step 3: Cross multiply
    164,348x = 354,886 × 354,886
  4. Step 4: Simplify right side
    164,348x = 125,944,072,996
  5. Step 5: Solve for x
    x = 125,944,072,996/164,348
  6. Step 6: Final answer
    x = 766,325.56

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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.