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Finding the Third Proportional to 164,033 and 341,155

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Solution

The third proportional to 164,033 and 341,155 is: 709,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,033 : 341,155 = 341,155 : x
  2. Step 2: Convert to fraction form
    164,033/341,155 = 341,155/x
  3. Step 3: Cross multiply
    164,033x = 341,155 × 341,155
  4. Step 4: Simplify right side
    164,033x = 116,386,734,025
  5. Step 5: Solve for x
    x = 116,386,734,025/164,033
  6. Step 6: Final answer
    x = 709,532.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.