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Finding the Third Proportional to 128,958 and 280,069.50

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Solution

The third proportional to 128,958 and 280,069.50 is: 608,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,958 : 280,069.50 = 280,069.50 : x
  2. Step 2: Convert to fraction form
    128,958/280,069.50 = 280,069.50/x
  3. Step 3: Cross multiply
    128,958x = 280,069.50 × 280,069.50
  4. Step 4: Simplify right side
    128,958x = 78,438,924,830.25
  5. Step 5: Solve for x
    x = 78,438,924,830.25/128,958
  6. Step 6: Final answer
    x = 608,251.72

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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.