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Finding the Third Proportional to 186,122 and 407,012

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Solution

The third proportional to 186,122 and 407,012 is: 890,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,122 : 407,012 = 407,012 : x
  2. Step 2: Convert to fraction form
    186,122/407,012 = 407,012/x
  3. Step 3: Cross multiply
    186,122x = 407,012 × 407,012
  4. Step 4: Simplify right side
    186,122x = 165,658,768,144
  5. Step 5: Solve for x
    x = 165,658,768,144/186,122
  6. Step 6: Final answer
    x = 890,054.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.