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Finding the Third Proportional to 186,315.75 and 404,140.50

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Solution

The third proportional to 186,315.75 and 404,140.50 is: 876,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,315.75 : 404,140.50 = 404,140.50 : x
  2. Step 2: Convert to fraction form
    186,315.75/404,140.50 = 404,140.50/x
  3. Step 3: Cross multiply
    186,315.75x = 404,140.50 × 404,140.50
  4. Step 4: Simplify right side
    186,315.75x = 163,329,543,740.25
  5. Step 5: Solve for x
    x = 163,329,543,740.25/186,315.75
  6. Step 6: Final answer
    x = 876,627.68

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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.