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Finding the Third Proportional to 142,058.63 and 236,734.88

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Solution

The third proportional to 142,058.63 and 236,734.88 is: 394,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,058.63 : 236,734.88 = 236,734.88 : x
  2. Step 2: Convert to fraction form
    142,058.63/236,734.88 = 236,734.88/x
  3. Step 3: Cross multiply
    142,058.63x = 236,734.88 × 236,734.88
  4. Step 4: Simplify right side
    142,058.63x = 56,043,401,041.27
  5. Step 5: Solve for x
    x = 56,043,401,041.27/142,058.63
  6. Step 6: Final answer
    x = 394,508.96

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.