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Finding the Third Proportional to 180,165.52 and 382,554.14

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Solution

The third proportional to 180,165.52 and 382,554.14 is: 812,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,165.52 : 382,554.14 = 382,554.14 : x
  2. Step 2: Convert to fraction form
    180,165.52/382,554.14 = 382,554.14/x
  3. Step 3: Cross multiply
    180,165.52x = 382,554.14 × 382,554.14
  4. Step 4: Simplify right side
    180,165.52x = 146,347,670,509.33
  5. Step 5: Solve for x
    x = 146,347,670,509.33/180,165.52
  6. Step 6: Final answer
    x = 812,295.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.