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Finding the Third Proportional to 164,184 and 354,564

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Solution

The third proportional to 164,184 and 354,564 is: 765,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,184 : 354,564 = 354,564 : x
  2. Step 2: Convert to fraction form
    164,184/354,564 = 354,564/x
  3. Step 3: Cross multiply
    164,184x = 354,564 × 354,564
  4. Step 4: Simplify right side
    164,184x = 125,715,630,096
  5. Step 5: Solve for x
    x = 125,715,630,096/164,184
  6. Step 6: Final answer
    x = 765,699.64

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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.