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Finding the Third Proportional to 178,035 and 237,814.50

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Solution

The third proportional to 178,035 and 237,814.50 is: 317,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,035 : 237,814.50 = 237,814.50 : x
  2. Step 2: Convert to fraction form
    178,035/237,814.50 = 237,814.50/x
  3. Step 3: Cross multiply
    178,035x = 237,814.50 × 237,814.50
  4. Step 4: Simplify right side
    178,035x = 56,555,736,410.25
  5. Step 5: Solve for x
    x = 56,555,736,410.25/178,035
  6. Step 6: Final answer
    x = 317,666.39

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.