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Finding the Third Proportional to 148,831.50 and 208,181.25

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Solution

The third proportional to 148,831.50 and 208,181.25 is: 291,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,831.50 : 208,181.25 = 208,181.25 : x
  2. Step 2: Convert to fraction form
    148,831.50/208,181.25 = 208,181.25/x
  3. Step 3: Cross multiply
    148,831.50x = 208,181.25 × 208,181.25
  4. Step 4: Simplify right side
    148,831.50x = 43,339,432,851.56
  5. Step 5: Solve for x
    x = 43,339,432,851.56/148,831.50
  6. Step 6: Final answer
    x = 291,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.