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Finding the Third Proportional to 82,587.01 and 180,342.07

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Solution

The third proportional to 82,587.01 and 180,342.07 is: 393,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587.01 : 180,342.07 = 180,342.07 : x
  2. Step 2: Convert to fraction form
    82,587.01/180,342.07 = 180,342.07/x
  3. Step 3: Cross multiply
    82,587.01x = 180,342.07 × 180,342.07
  4. Step 4: Simplify right side
    82,587.01x = 32,523,262,324.60
  5. Step 5: Solve for x
    x = 32,523,262,324.60/82,587.01
  6. Step 6: Final answer
    x = 393,806.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.