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Finding the Third Proportional to 164,818 and 352,964

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Solution

The third proportional to 164,818 and 352,964 is: 755,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,818 : 352,964 = 352,964 : x
  2. Step 2: Convert to fraction form
    164,818/352,964 = 352,964/x
  3. Step 3: Cross multiply
    164,818x = 352,964 × 352,964
  4. Step 4: Simplify right side
    164,818x = 124,583,585,296
  5. Step 5: Solve for x
    x = 124,583,585,296/164,818
  6. Step 6: Final answer
    x = 755,885.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.