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Finding the Third Proportional to 163,709 and 246,172.50

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Solution

The third proportional to 163,709 and 246,172.50 is: 370,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,709 : 246,172.50 = 246,172.50 : x
  2. Step 2: Convert to fraction form
    163,709/246,172.50 = 246,172.50/x
  3. Step 3: Cross multiply
    163,709x = 246,172.50 × 246,172.50
  4. Step 4: Simplify right side
    163,709x = 60,600,899,756.25
  5. Step 5: Solve for x
    x = 60,600,899,756.25/163,709
  6. Step 6: Final answer
    x = 370,174.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.