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Finding the Third Proportional to 158,405.63 and 243,151.88

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Solution

The third proportional to 158,405.63 and 243,151.88 is: 373,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,405.63 : 243,151.88 = 243,151.88 : x
  2. Step 2: Convert to fraction form
    158,405.63/243,151.88 = 243,151.88/x
  3. Step 3: Cross multiply
    158,405.63x = 243,151.88 × 243,151.88
  4. Step 4: Simplify right side
    158,405.63x = 59,122,834,316.02
  5. Step 5: Solve for x
    x = 59,122,834,316.02/158,405.63
  6. Step 6: Final answer
    x = 373,236.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.