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Finding the Third Proportional to 164,046.38 and 234,586.13

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Solution

The third proportional to 164,046.38 and 234,586.13 is: 335,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046.38 : 234,586.13 = 234,586.13 : x
  2. Step 2: Convert to fraction form
    164,046.38/234,586.13 = 234,586.13/x
  3. Step 3: Cross multiply
    164,046.38x = 234,586.13 × 234,586.13
  4. Step 4: Simplify right side
    164,046.38x = 55,030,650,042.52
  5. Step 5: Solve for x
    x = 55,030,650,042.52/164,046.38
  6. Step 6: Final answer
    x = 335,457.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.