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Finding the Third Proportional to 156,667 and 238,678.50

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Solution

The third proportional to 156,667 and 238,678.50 is: 363,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,667 : 238,678.50 = 238,678.50 : x
  2. Step 2: Convert to fraction form
    156,667/238,678.50 = 238,678.50/x
  3. Step 3: Cross multiply
    156,667x = 238,678.50 × 238,678.50
  4. Step 4: Simplify right side
    156,667x = 56,967,426,362.25
  5. Step 5: Solve for x
    x = 56,967,426,362.25/156,667
  6. Step 6: Final answer
    x = 363,621.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.