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Finding the Third Proportional to 164,260 and 354,752

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Solution

The third proportional to 164,260 and 354,752 is: 766,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,260 : 354,752 = 354,752 : x
  2. Step 2: Convert to fraction form
    164,260/354,752 = 354,752/x
  3. Step 3: Cross multiply
    164,260x = 354,752 × 354,752
  4. Step 4: Simplify right side
    164,260x = 125,848,981,504
  5. Step 5: Solve for x
    x = 125,848,981,504/164,260
  6. Step 6: Final answer
    x = 766,157.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.