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Finding the Third Proportional to 150,558.75 and 334,332

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Solution

The third proportional to 150,558.75 and 334,332 is: 742,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,558.75 : 334,332 = 334,332 : x
  2. Step 2: Convert to fraction form
    150,558.75/334,332 = 334,332/x
  3. Step 3: Cross multiply
    150,558.75x = 334,332 × 334,332
  4. Step 4: Simplify right side
    150,558.75x = 111,777,886,224
  5. Step 5: Solve for x
    x = 111,777,886,224/150,558.75
  6. Step 6: Final answer
    x = 742,420.39

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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.