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Finding the Third Proportional to 110,929.50 and 180,226.27

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Solution

The third proportional to 110,929.50 and 180,226.27 is: 292,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,929.50 : 180,226.27 = 180,226.27 : x
  2. Step 2: Convert to fraction form
    110,929.50/180,226.27 = 180,226.27/x
  3. Step 3: Cross multiply
    110,929.50x = 180,226.27 × 180,226.27
  4. Step 4: Simplify right side
    110,929.50x = 32,481,506,821.13
  5. Step 5: Solve for x
    x = 32,481,506,821.13/110,929.50
  6. Step 6: Final answer
    x = 292,812.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.