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Finding the Third Proportional to 180,423.38 and 252,242.63

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Solution

The third proportional to 180,423.38 and 252,242.63 is: 352,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,423.38 : 252,242.63 = 252,242.63 : x
  2. Step 2: Convert to fraction form
    180,423.38/252,242.63 = 252,242.63/x
  3. Step 3: Cross multiply
    180,423.38x = 252,242.63 × 252,242.63
  4. Step 4: Simplify right side
    180,423.38x = 63,626,341,866.89
  5. Step 5: Solve for x
    x = 63,626,341,866.89/180,423.38
  6. Step 6: Final answer
    x = 352,650.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.