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Finding the Third Proportional to 142,485 and 222,354

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Solution

The third proportional to 142,485 and 222,354 is: 346,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,485 : 222,354 = 222,354 : x
  2. Step 2: Convert to fraction form
    142,485/222,354 = 222,354/x
  3. Step 3: Cross multiply
    142,485x = 222,354 × 222,354
  4. Step 4: Simplify right side
    142,485x = 49,441,301,316
  5. Step 5: Solve for x
    x = 49,441,301,316/142,485
  6. Step 6: Final answer
    x = 346,993.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.