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Finding the Third Proportional to 186,322.50 and 404,157

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Solution

The third proportional to 186,322.50 and 404,157 is: 876,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,322.50 : 404,157 = 404,157 : x
  2. Step 2: Convert to fraction form
    186,322.50/404,157 = 404,157/x
  3. Step 3: Cross multiply
    186,322.50x = 404,157 × 404,157
  4. Step 4: Simplify right side
    186,322.50x = 163,342,880,649
  5. Step 5: Solve for x
    x = 163,342,880,649/186,322.50
  6. Step 6: Final answer
    x = 876,667.50

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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.