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Finding the Third Proportional to 142,248 and 190,896

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Solution

The third proportional to 142,248 and 190,896 is: 256,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,248 : 190,896 = 190,896 : x
  2. Step 2: Convert to fraction form
    142,248/190,896 = 190,896/x
  3. Step 3: Cross multiply
    142,248x = 190,896 × 190,896
  4. Step 4: Simplify right side
    142,248x = 36,441,282,816
  5. Step 5: Solve for x
    x = 36,441,282,816/142,248
  6. Step 6: Final answer
    x = 256,181.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.