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Finding the Third Proportional to 157,788.63 and 236,621.72

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Solution

The third proportional to 157,788.63 and 236,621.72 is: 354,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,788.63 : 236,621.72 = 236,621.72 : x
  2. Step 2: Convert to fraction form
    157,788.63/236,621.72 = 236,621.72/x
  3. Step 3: Cross multiply
    157,788.63x = 236,621.72 × 236,621.72
  4. Step 4: Simplify right side
    157,788.63x = 55,989,840,557.12
  5. Step 5: Solve for x
    x = 55,989,840,557.12/157,788.63
  6. Step 6: Final answer
    x = 354,840.77

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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.