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Finding the Third Proportional to 186,403.50 and 289,165.50

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Solution

The third proportional to 186,403.50 and 289,165.50 is: 448,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,403.50 : 289,165.50 = 289,165.50 : x
  2. Step 2: Convert to fraction form
    186,403.50/289,165.50 = 289,165.50/x
  3. Step 3: Cross multiply
    186,403.50x = 289,165.50 × 289,165.50
  4. Step 4: Simplify right side
    186,403.50x = 83,616,686,390.25
  5. Step 5: Solve for x
    x = 83,616,686,390.25/186,403.50
  6. Step 6: Final answer
    x = 448,578.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.