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Finding the Third Proportional to 145,815.75 and 303,271.13

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Solution

The third proportional to 145,815.75 and 303,271.13 is: 630,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,815.75 : 303,271.13 = 303,271.13 : x
  2. Step 2: Convert to fraction form
    145,815.75/303,271.13 = 303,271.13/x
  3. Step 3: Cross multiply
    145,815.75x = 303,271.13 × 303,271.13
  4. Step 4: Simplify right side
    145,815.75x = 91,973,375,258.77
  5. Step 5: Solve for x
    x = 91,973,375,258.77/145,815.75
  6. Step 6: Final answer
    x = 630,750.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.