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Finding the Third Proportional to 164,498 and 353,470

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Solution

The third proportional to 164,498 and 353,470 is: 759,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,498 : 353,470 = 353,470 : x
  2. Step 2: Convert to fraction form
    164,498/353,470 = 353,470/x
  3. Step 3: Cross multiply
    164,498x = 353,470 × 353,470
  4. Step 4: Simplify right side
    164,498x = 124,941,040,900
  5. Step 5: Solve for x
    x = 124,941,040,900/164,498
  6. Step 6: Final answer
    x = 759,529.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.