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Finding the Third Proportional to 163,334 and 245,002

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Solution

The third proportional to 163,334 and 245,002 is: 367,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,334 : 245,002 = 245,002 : x
  2. Step 2: Convert to fraction form
    163,334/245,002 = 245,002/x
  3. Step 3: Cross multiply
    163,334x = 245,002 × 245,002
  4. Step 4: Simplify right side
    163,334x = 60,025,980,004
  5. Step 5: Solve for x
    x = 60,025,980,004/163,334
  6. Step 6: Final answer
    x = 367,504.50

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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.