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Finding the Third Proportional to 98,758 and 232,986.50

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Solution

The third proportional to 98,758 and 232,986.50 is: 549,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,758 : 232,986.50 = 232,986.50 : x
  2. Step 2: Convert to fraction form
    98,758/232,986.50 = 232,986.50/x
  3. Step 3: Cross multiply
    98,758x = 232,986.50 × 232,986.50
  4. Step 4: Simplify right side
    98,758x = 54,282,709,182.25
  5. Step 5: Solve for x
    x = 54,282,709,182.25/98,758
  6. Step 6: Final answer
    x = 549,653.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.