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Finding the Third Proportional to 146,070 and 208,737

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Solution

The third proportional to 146,070 and 208,737 is: 298,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,070 : 208,737 = 208,737 : x
  2. Step 2: Convert to fraction form
    146,070/208,737 = 208,737/x
  3. Step 3: Cross multiply
    146,070x = 208,737 × 208,737
  4. Step 4: Simplify right side
    146,070x = 43,571,135,169
  5. Step 5: Solve for x
    x = 43,571,135,169/146,070
  6. Step 6: Final answer
    x = 298,289.42

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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.