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Finding the Third Proportional to 163,688 and 246,140

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Solution

The third proportional to 163,688 and 246,140 is: 370,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,688 : 246,140 = 246,140 : x
  2. Step 2: Convert to fraction form
    163,688/246,140 = 246,140/x
  3. Step 3: Cross multiply
    163,688x = 246,140 × 246,140
  4. Step 4: Simplify right side
    163,688x = 60,584,899,600
  5. Step 5: Solve for x
    x = 60,584,899,600/163,688
  6. Step 6: Final answer
    x = 370,124.26

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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.