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Finding the Third Proportional to 189,531 and 295,699.50

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Solution

The third proportional to 189,531 and 295,699.50 is: 461,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,531 : 295,699.50 = 295,699.50 : x
  2. Step 2: Convert to fraction form
    189,531/295,699.50 = 295,699.50/x
  3. Step 3: Cross multiply
    189,531x = 295,699.50 × 295,699.50
  4. Step 4: Simplify right side
    189,531x = 87,438,194,300.25
  5. Step 5: Solve for x
    x = 87,438,194,300.25/189,531
  6. Step 6: Final answer
    x = 461,339.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.