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Finding the Third Proportional to 152,811 and 334,022.50

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Solution

The third proportional to 152,811 and 334,022.50 is: 730,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,811 : 334,022.50 = 334,022.50 : x
  2. Step 2: Convert to fraction form
    152,811/334,022.50 = 334,022.50/x
  3. Step 3: Cross multiply
    152,811x = 334,022.50 × 334,022.50
  4. Step 4: Simplify right side
    152,811x = 111,571,030,506.25
  5. Step 5: Solve for x
    x = 111,571,030,506.25/152,811
  6. Step 6: Final answer
    x = 730,124.34

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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.