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Finding the Third Proportional to 180,710.50 and 401,813

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Solution

The third proportional to 180,710.50 and 401,813 is: 893,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,710.50 : 401,813 = 401,813 : x
  2. Step 2: Convert to fraction form
    180,710.50/401,813 = 401,813/x
  3. Step 3: Cross multiply
    180,710.50x = 401,813 × 401,813
  4. Step 4: Simplify right side
    180,710.50x = 161,453,686,969
  5. Step 5: Solve for x
    x = 161,453,686,969/180,710.50
  6. Step 6: Final answer
    x = 893,438.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.