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Finding the Third Proportional to 145,828 and 208,532

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Solution

The third proportional to 145,828 and 208,532 is: 298,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,828 : 208,532 = 208,532 : x
  2. Step 2: Convert to fraction form
    145,828/208,532 = 208,532/x
  3. Step 3: Cross multiply
    145,828x = 208,532 × 208,532
  4. Step 4: Simplify right side
    145,828x = 43,485,595,024
  5. Step 5: Solve for x
    x = 43,485,595,024/145,828
  6. Step 6: Final answer
    x = 298,197.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.