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Finding the Third Proportional to 145,349 and 301,633

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Solution

The third proportional to 145,349 and 301,633 is: 625,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,349 : 301,633 = 301,633 : x
  2. Step 2: Convert to fraction form
    145,349/301,633 = 301,633/x
  3. Step 3: Cross multiply
    145,349x = 301,633 × 301,633
  4. Step 4: Simplify right side
    145,349x = 90,982,466,689
  5. Step 5: Solve for x
    x = 90,982,466,689/145,349
  6. Step 6: Final answer
    x = 625,958.67

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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.