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Finding the Third Proportional to 178,070.50 and 384,230

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Solution

The third proportional to 178,070.50 and 384,230 is: 829,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,070.50 : 384,230 = 384,230 : x
  2. Step 2: Convert to fraction form
    178,070.50/384,230 = 384,230/x
  3. Step 3: Cross multiply
    178,070.50x = 384,230 × 384,230
  4. Step 4: Simplify right side
    178,070.50x = 147,632,692,900
  5. Step 5: Solve for x
    x = 147,632,692,900/178,070.50
  6. Step 6: Final answer
    x = 829,068.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.