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Finding the Third Proportional to 180,982.50 and 390,012

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Solution

The third proportional to 180,982.50 and 390,012 is: 840,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,982.50 : 390,012 = 390,012 : x
  2. Step 2: Convert to fraction form
    180,982.50/390,012 = 390,012/x
  3. Step 3: Cross multiply
    180,982.50x = 390,012 × 390,012
  4. Step 4: Simplify right side
    180,982.50x = 152,109,360,144
  5. Step 5: Solve for x
    x = 152,109,360,144/180,982.50
  6. Step 6: Final answer
    x = 840,464.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.