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Finding the Third Proportional to 142,680 and 221,232

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Solution

The third proportional to 142,680 and 221,232 is: 343,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,680 : 221,232 = 221,232 : x
  2. Step 2: Convert to fraction form
    142,680/221,232 = 221,232/x
  3. Step 3: Cross multiply
    142,680x = 221,232 × 221,232
  4. Step 4: Simplify right side
    142,680x = 48,943,597,824
  5. Step 5: Solve for x
    x = 48,943,597,824/142,680
  6. Step 6: Final answer
    x = 343,030.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.