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Finding the Third Proportional to 83,270.25 and 180,580.50

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Solution

The third proportional to 83,270.25 and 180,580.50 is: 391,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270.25 : 180,580.50 = 180,580.50 : x
  2. Step 2: Convert to fraction form
    83,270.25/180,580.50 = 180,580.50/x
  3. Step 3: Cross multiply
    83,270.25x = 180,580.50 × 180,580.50
  4. Step 4: Simplify right side
    83,270.25x = 32,609,316,980.25
  5. Step 5: Solve for x
    x = 32,609,316,980.25/83,270.25
  6. Step 6: Final answer
    x = 391,608.25

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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.