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Finding the Third Proportional to 235,176.75 and 508,086

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Solution

The third proportional to 235,176.75 and 508,086 is: 1,097,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,176.75 : 508,086 = 508,086 : x
  2. Step 2: Convert to fraction form
    235,176.75/508,086 = 508,086/x
  3. Step 3: Cross multiply
    235,176.75x = 508,086 × 508,086
  4. Step 4: Simplify right side
    235,176.75x = 258,151,383,396
  5. Step 5: Solve for x
    x = 258,151,383,396/235,176.75
  6. Step 6: Final answer
    x = 1,097,690.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.