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Finding the Third Proportional to 164,331 and 353,565

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Solution

The third proportional to 164,331 and 353,565 is: 760,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,331 : 353,565 = 353,565 : x
  2. Step 2: Convert to fraction form
    164,331/353,565 = 353,565/x
  3. Step 3: Cross multiply
    164,331x = 353,565 × 353,565
  4. Step 4: Simplify right side
    164,331x = 125,008,209,225
  5. Step 5: Solve for x
    x = 125,008,209,225/164,331
  6. Step 6: Final answer
    x = 760,709.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.