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Finding the Third Proportional to 142,990 and 282,388

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Solution

The third proportional to 142,990 and 282,388 is: 557,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,990 : 282,388 = 282,388 : x
  2. Step 2: Convert to fraction form
    142,990/282,388 = 282,388/x
  3. Step 3: Cross multiply
    142,990x = 282,388 × 282,388
  4. Step 4: Simplify right side
    142,990x = 79,742,982,544
  5. Step 5: Solve for x
    x = 79,742,982,544/142,990
  6. Step 6: Final answer
    x = 557,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.