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Finding the Third Proportional to 164,230.03 and 352,243.69

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Solution

The third proportional to 164,230.03 and 352,243.69 is: 755,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,230.03 : 352,243.69 = 352,243.69 : x
  2. Step 2: Convert to fraction form
    164,230.03/352,243.69 = 352,243.69/x
  3. Step 3: Cross multiply
    164,230.03x = 352,243.69 × 352,243.69
  4. Step 4: Simplify right side
    164,230.03x = 124,075,615,383.60
  5. Step 5: Solve for x
    x = 124,075,615,383.60/164,230.03
  6. Step 6: Final answer
    x = 755,498.95

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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.