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Finding the Third Proportional to 150,618.23 and 326,030.06

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Solution

The third proportional to 150,618.23 and 326,030.06 is: 705,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,618.23 : 326,030.06 = 326,030.06 : x
  2. Step 2: Convert to fraction form
    150,618.23/326,030.06 = 326,030.06/x
  3. Step 3: Cross multiply
    150,618.23x = 326,030.06 × 326,030.06
  4. Step 4: Simplify right side
    150,618.23x = 106,295,601,653.75
  5. Step 5: Solve for x
    x = 106,295,601,653.75/150,618.23
  6. Step 6: Final answer
    x = 705,728.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.