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Finding the Third Proportional to 164,112 and 358,596

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Solution

The third proportional to 164,112 and 358,596 is: 783,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,112 : 358,596 = 358,596 : x
  2. Step 2: Convert to fraction form
    164,112/358,596 = 358,596/x
  3. Step 3: Cross multiply
    164,112x = 358,596 × 358,596
  4. Step 4: Simplify right side
    164,112x = 128,591,091,216
  5. Step 5: Solve for x
    x = 128,591,091,216/164,112
  6. Step 6: Final answer
    x = 783,556.91

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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.