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Finding the Third Proportional to 145,899 and 301,914

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Solution

The third proportional to 145,899 and 301,914 is: 624,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,899 : 301,914 = 301,914 : x
  2. Step 2: Convert to fraction form
    145,899/301,914 = 301,914/x
  3. Step 3: Cross multiply
    145,899x = 301,914 × 301,914
  4. Step 4: Simplify right side
    145,899x = 91,152,063,396
  5. Step 5: Solve for x
    x = 91,152,063,396/145,899
  6. Step 6: Final answer
    x = 624,761.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.