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Finding the Third Proportional to 121,246.50 and 285,813

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Solution

The third proportional to 121,246.50 and 285,813 is: 673,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,246.50 : 285,813 = 285,813 : x
  2. Step 2: Convert to fraction form
    121,246.50/285,813 = 285,813/x
  3. Step 3: Cross multiply
    121,246.50x = 285,813 × 285,813
  4. Step 4: Simplify right side
    121,246.50x = 81,689,070,969
  5. Step 5: Solve for x
    x = 81,689,070,969/121,246.50
  6. Step 6: Final answer
    x = 673,743.74

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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.