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Finding the Third Proportional to 188,481 and 403,030.50

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Solution

The third proportional to 188,481 and 403,030.50 is: 861,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,481 : 403,030.50 = 403,030.50 : x
  2. Step 2: Convert to fraction form
    188,481/403,030.50 = 403,030.50/x
  3. Step 3: Cross multiply
    188,481x = 403,030.50 × 403,030.50
  4. Step 4: Simplify right side
    188,481x = 162,433,583,930.25
  5. Step 5: Solve for x
    x = 162,433,583,930.25/188,481
  6. Step 6: Final answer
    x = 861,803.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.