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Finding the Third Proportional to 163,712 and 246,178

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Solution

The third proportional to 163,712 and 246,178 is: 370,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,712 : 246,178 = 246,178 : x
  2. Step 2: Convert to fraction form
    163,712/246,178 = 246,178/x
  3. Step 3: Cross multiply
    163,712x = 246,178 × 246,178
  4. Step 4: Simplify right side
    163,712x = 60,603,607,684
  5. Step 5: Solve for x
    x = 60,603,607,684/163,712
  6. Step 6: Final answer
    x = 370,184.27

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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.