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Finding the Third Proportional to 186,077.75 and 403,662.25

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Solution

The third proportional to 186,077.75 and 403,662.25 is: 875,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,077.75 : 403,662.25 = 403,662.25 : x
  2. Step 2: Convert to fraction form
    186,077.75/403,662.25 = 403,662.25/x
  3. Step 3: Cross multiply
    186,077.75x = 403,662.25 × 403,662.25
  4. Step 4: Simplify right side
    186,077.75x = 162,943,212,075.06
  5. Step 5: Solve for x
    x = 162,943,212,075.06/186,077.75
  6. Step 6: Final answer
    x = 875,672.73

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Why These Related Problems?

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