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Finding the Third Proportional to 180,300.94 and 385,615.69

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Solution

The third proportional to 180,300.94 and 385,615.69 is: 824,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,300.94 : 385,615.69 = 385,615.69 : x
  2. Step 2: Convert to fraction form
    180,300.94/385,615.69 = 385,615.69/x
  3. Step 3: Cross multiply
    180,300.94x = 385,615.69 × 385,615.69
  4. Step 4: Simplify right side
    180,300.94x = 148,699,458,446.10
  5. Step 5: Solve for x
    x = 148,699,458,446.10/180,300.94
  6. Step 6: Final answer
    x = 824,729.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.