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Finding the Third Proportional to 142,906.88 and 301,851.75

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Solution

The third proportional to 142,906.88 and 301,851.75 is: 637,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,906.88 : 301,851.75 = 301,851.75 : x
  2. Step 2: Convert to fraction form
    142,906.88/301,851.75 = 301,851.75/x
  3. Step 3: Cross multiply
    142,906.88x = 301,851.75 × 301,851.75
  4. Step 4: Simplify right side
    142,906.88x = 91,114,478,978.06
  5. Step 5: Solve for x
    x = 91,114,478,978.06/142,906.88
  6. Step 6: Final answer
    x = 637,579.40

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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.