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Finding the Third Proportional to 186,445.50 and 321,039

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Solution

The third proportional to 186,445.50 and 321,039 is: 552,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,445.50 : 321,039 = 321,039 : x
  2. Step 2: Convert to fraction form
    186,445.50/321,039 = 321,039/x
  3. Step 3: Cross multiply
    186,445.50x = 321,039 × 321,039
  4. Step 4: Simplify right side
    186,445.50x = 103,066,039,521
  5. Step 5: Solve for x
    x = 103,066,039,521/186,445.50
  6. Step 6: Final answer
    x = 552,794.46

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.