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Finding the Third Proportional to 118,246.50 and 256,162.50

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Solution

The third proportional to 118,246.50 and 256,162.50 is: 554,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,246.50 : 256,162.50 = 256,162.50 : x
  2. Step 2: Convert to fraction form
    118,246.50/256,162.50 = 256,162.50/x
  3. Step 3: Cross multiply
    118,246.50x = 256,162.50 × 256,162.50
  4. Step 4: Simplify right side
    118,246.50x = 65,619,226,406.25
  5. Step 5: Solve for x
    x = 65,619,226,406.25/118,246.50
  6. Step 6: Final answer
    x = 554,935.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.