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Finding the Third Proportional to 164,084 and 357,816

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Solution

The third proportional to 164,084 and 357,816 is: 780,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,084 : 357,816 = 357,816 : x
  2. Step 2: Convert to fraction form
    164,084/357,816 = 357,816/x
  3. Step 3: Cross multiply
    164,084x = 357,816 × 357,816
  4. Step 4: Simplify right side
    164,084x = 128,032,289,856
  5. Step 5: Solve for x
    x = 128,032,289,856/164,084
  6. Step 6: Final answer
    x = 780,285.04

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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.