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Finding the Third Proportional to 164,723 and 360,964

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Solution

The third proportional to 164,723 and 360,964 is: 790,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,723 : 360,964 = 360,964 : x
  2. Step 2: Convert to fraction form
    164,723/360,964 = 360,964/x
  3. Step 3: Cross multiply
    164,723x = 360,964 × 360,964
  4. Step 4: Simplify right side
    164,723x = 130,295,009,296
  5. Step 5: Solve for x
    x = 130,295,009,296/164,723
  6. Step 6: Final answer
    x = 790,994.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.