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Finding the Third Proportional to 180,037.50 and 290,007

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Solution

The third proportional to 180,037.50 and 290,007 is: 467,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,037.50 : 290,007 = 290,007 : x
  2. Step 2: Convert to fraction form
    180,037.50/290,007 = 290,007/x
  3. Step 3: Cross multiply
    180,037.50x = 290,007 × 290,007
  4. Step 4: Simplify right side
    180,037.50x = 84,104,060,049
  5. Step 5: Solve for x
    x = 84,104,060,049/180,037.50
  6. Step 6: Final answer
    x = 467,147.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.