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Finding the Third Proportional to 145,814 and 303,262

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Solution

The third proportional to 145,814 and 303,262 is: 630,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814 : 303,262 = 303,262 : x
  2. Step 2: Convert to fraction form
    145,814/303,262 = 303,262/x
  3. Step 3: Cross multiply
    145,814x = 303,262 × 303,262
  4. Step 4: Simplify right side
    145,814x = 91,967,840,644
  5. Step 5: Solve for x
    x = 91,967,840,644/145,814
  6. Step 6: Final answer
    x = 630,720.24

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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.