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Finding the Third Proportional to 188,232 and 276,070.50

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Solution

The third proportional to 188,232 and 276,070.50 is: 404,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,232 : 276,070.50 = 276,070.50 : x
  2. Step 2: Convert to fraction form
    188,232/276,070.50 = 276,070.50/x
  3. Step 3: Cross multiply
    188,232x = 276,070.50 × 276,070.50
  4. Step 4: Simplify right side
    188,232x = 76,214,920,970.25
  5. Step 5: Solve for x
    x = 76,214,920,970.25/188,232
  6. Step 6: Final answer
    x = 404,898.85

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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.