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Finding the Third Proportional to 164,092 and 353,330

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Solution

The third proportional to 164,092 and 353,330 is: 760,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,092 : 353,330 = 353,330 : x
  2. Step 2: Convert to fraction form
    164,092/353,330 = 353,330/x
  3. Step 3: Cross multiply
    164,092x = 353,330 × 353,330
  4. Step 4: Simplify right side
    164,092x = 124,842,088,900
  5. Step 5: Solve for x
    x = 124,842,088,900/164,092
  6. Step 6: Final answer
    x = 760,805.46

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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.