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Finding the Third Proportional to 180,272.50 and 282,783

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Solution

The third proportional to 180,272.50 and 282,783 is: 443,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,272.50 : 282,783 = 282,783 : x
  2. Step 2: Convert to fraction form
    180,272.50/282,783 = 282,783/x
  3. Step 3: Cross multiply
    180,272.50x = 282,783 × 282,783
  4. Step 4: Simplify right side
    180,272.50x = 79,966,225,089
  5. Step 5: Solve for x
    x = 79,966,225,089/180,272.50
  6. Step 6: Final answer
    x = 443,585.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.