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Finding the Third Proportional to 186,271.75 and 404,953.50

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Solution

The third proportional to 186,271.75 and 404,953.50 is: 880,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,271.75 : 404,953.50 = 404,953.50 : x
  2. Step 2: Convert to fraction form
    186,271.75/404,953.50 = 404,953.50/x
  3. Step 3: Cross multiply
    186,271.75x = 404,953.50 × 404,953.50
  4. Step 4: Simplify right side
    186,271.75x = 163,987,337,162.25
  5. Step 5: Solve for x
    x = 163,987,337,162.25/186,271.75
  6. Step 6: Final answer
    x = 880,366.12

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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.