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Finding the Third Proportional to 142,641 and 301,200

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Solution

The third proportional to 142,641 and 301,200 is: 636,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,641 : 301,200 = 301,200 : x
  2. Step 2: Convert to fraction form
    142,641/301,200 = 301,200/x
  3. Step 3: Cross multiply
    142,641x = 301,200 × 301,200
  4. Step 4: Simplify right side
    142,641x = 90,721,440,000
  5. Step 5: Solve for x
    x = 90,721,440,000/142,641
  6. Step 6: Final answer
    x = 636,012.37

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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.