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Finding the Third Proportional to 145,883 and 301,882

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Solution

The third proportional to 145,883 and 301,882 is: 624,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,883 : 301,882 = 301,882 : x
  2. Step 2: Convert to fraction form
    145,883/301,882 = 301,882/x
  3. Step 3: Cross multiply
    145,883x = 301,882 × 301,882
  4. Step 4: Simplify right side
    145,883x = 91,132,741,924
  5. Step 5: Solve for x
    x = 91,132,741,924/145,883
  6. Step 6: Final answer
    x = 624,697.48

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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.