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Finding the Third Proportional to 134,388 and 282,567

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Solution

The third proportional to 134,388 and 282,567 is: 594,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,388 : 282,567 = 282,567 : x
  2. Step 2: Convert to fraction form
    134,388/282,567 = 282,567/x
  3. Step 3: Cross multiply
    134,388x = 282,567 × 282,567
  4. Step 4: Simplify right side
    134,388x = 79,844,109,489
  5. Step 5: Solve for x
    x = 79,844,109,489/134,388
  6. Step 6: Final answer
    x = 594,131.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.