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Finding the Third Proportional to 182,161.13 and 288,004.50

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Solution

The third proportional to 182,161.13 and 288,004.50 is: 455,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,161.13 : 288,004.50 = 288,004.50 : x
  2. Step 2: Convert to fraction form
    182,161.13/288,004.50 = 288,004.50/x
  3. Step 3: Cross multiply
    182,161.13x = 288,004.50 × 288,004.50
  4. Step 4: Simplify right side
    182,161.13x = 82,946,592,020.25
  5. Step 5: Solve for x
    x = 82,946,592,020.25/182,161.13
  6. Step 6: Final answer
    x = 455,347.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.