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Finding the Third Proportional to 163,148 and 252,118

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Solution

The third proportional to 163,148 and 252,118 is: 389,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,148 : 252,118 = 252,118 : x
  2. Step 2: Convert to fraction form
    163,148/252,118 = 252,118/x
  3. Step 3: Cross multiply
    163,148x = 252,118 × 252,118
  4. Step 4: Simplify right side
    163,148x = 63,563,485,924
  5. Step 5: Solve for x
    x = 63,563,485,924/163,148
  6. Step 6: Final answer
    x = 389,606.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.