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Finding the Third Proportional to 186,319.50 and 404,146.50

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Solution

The third proportional to 186,319.50 and 404,146.50 is: 876,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,319.50 : 404,146.50 = 404,146.50 : x
  2. Step 2: Convert to fraction form
    186,319.50/404,146.50 = 404,146.50/x
  3. Step 3: Cross multiply
    186,319.50x = 404,146.50 × 404,146.50
  4. Step 4: Simplify right side
    186,319.50x = 163,334,393,462.25
  5. Step 5: Solve for x
    x = 163,334,393,462.25/186,319.50
  6. Step 6: Final answer
    x = 876,636.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.