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Finding the Third Proportional to 164,504 and 358,762

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Solution

The third proportional to 164,504 and 358,762 is: 782,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,504 : 358,762 = 358,762 : x
  2. Step 2: Convert to fraction form
    164,504/358,762 = 358,762/x
  3. Step 3: Cross multiply
    164,504x = 358,762 × 358,762
  4. Step 4: Simplify right side
    164,504x = 128,710,172,644
  5. Step 5: Solve for x
    x = 128,710,172,644/164,504
  6. Step 6: Final answer
    x = 782,413.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.