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Finding the Third Proportional to 142,858 and 301,620

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Solution

The third proportional to 142,858 and 301,620 is: 636,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,858 : 301,620 = 301,620 : x
  2. Step 2: Convert to fraction form
    142,858/301,620 = 301,620/x
  3. Step 3: Cross multiply
    142,858x = 301,620 × 301,620
  4. Step 4: Simplify right side
    142,858x = 90,974,624,400
  5. Step 5: Solve for x
    x = 90,974,624,400/142,858
  6. Step 6: Final answer
    x = 636,818.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.