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Finding the Third Proportional to 183,575.63 and 280,639.69

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Solution

The third proportional to 183,575.63 and 280,639.69 is: 429,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,575.63 : 280,639.69 = 280,639.69 : x
  2. Step 2: Convert to fraction form
    183,575.63/280,639.69 = 280,639.69/x
  3. Step 3: Cross multiply
    183,575.63x = 280,639.69 × 280,639.69
  4. Step 4: Simplify right side
    183,575.63x = 78,758,634,200.10
  5. Step 5: Solve for x
    x = 78,758,634,200.10/183,575.63
  6. Step 6: Final answer
    x = 429,025.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.