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Finding the Third Proportional to 181,226.25 and 426,389.63

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Solution

The third proportional to 181,226.25 and 426,389.63 is: 1,003,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,226.25 : 426,389.63 = 426,389.63 : x
  2. Step 2: Convert to fraction form
    181,226.25/426,389.63 = 426,389.63/x
  3. Step 3: Cross multiply
    181,226.25x = 426,389.63 × 426,389.63
  4. Step 4: Simplify right side
    181,226.25x = 181,808,112,307.64
  5. Step 5: Solve for x
    x = 181,808,112,307.64/181,226.25
  6. Step 6: Final answer
    x = 1,003,210.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.