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Finding the Third Proportional to 178,425 and 262,708.88

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Solution

The third proportional to 178,425 and 262,708.88 is: 386,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,425 : 262,708.88 = 262,708.88 : x
  2. Step 2: Convert to fraction form
    178,425/262,708.88 = 262,708.88/x
  3. Step 3: Cross multiply
    178,425x = 262,708.88 × 262,708.88
  4. Step 4: Simplify right side
    178,425x = 69,015,953,003.77
  5. Step 5: Solve for x
    x = 69,015,953,003.77/178,425
  6. Step 6: Final answer
    x = 386,806.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.