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Finding the Third Proportional to 156,729 and 235,445

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Solution

The third proportional to 156,729 and 235,445 is: 353,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729 : 235,445 = 235,445 : x
  2. Step 2: Convert to fraction form
    156,729/235,445 = 235,445/x
  3. Step 3: Cross multiply
    156,729x = 235,445 × 235,445
  4. Step 4: Simplify right side
    156,729x = 55,434,348,025
  5. Step 5: Solve for x
    x = 55,434,348,025/156,729
  6. Step 6: Final answer
    x = 353,695.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.