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Finding the Third Proportional to 164,644 and 340,584

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Solution

The third proportional to 164,644 and 340,584 is: 704,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,644 : 340,584 = 340,584 : x
  2. Step 2: Convert to fraction form
    164,644/340,584 = 340,584/x
  3. Step 3: Cross multiply
    164,644x = 340,584 × 340,584
  4. Step 4: Simplify right side
    164,644x = 115,997,461,056
  5. Step 5: Solve for x
    x = 115,997,461,056/164,644
  6. Step 6: Final answer
    x = 704,535.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.