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Finding the Third Proportional to 150,557.06 and 334,329.19

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Solution

The third proportional to 150,557.06 and 334,329.19 is: 742,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,557.06 : 334,329.19 = 334,329.19 : x
  2. Step 2: Convert to fraction form
    150,557.06/334,329.19 = 334,329.19/x
  3. Step 3: Cross multiply
    150,557.06x = 334,329.19 × 334,329.19
  4. Step 4: Simplify right side
    150,557.06x = 111,776,005,614.41
  5. Step 5: Solve for x
    x = 111,776,005,614.41/150,557.06
  6. Step 6: Final answer
    x = 742,416.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.