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Finding the Third Proportional to 181,237 and 426,416

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Solution

The third proportional to 181,237 and 426,416 is: 1,003,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,237 : 426,416 = 426,416 : x
  2. Step 2: Convert to fraction form
    181,237/426,416 = 426,416/x
  3. Step 3: Cross multiply
    181,237x = 426,416 × 426,416
  4. Step 4: Simplify right side
    181,237x = 181,830,605,056
  5. Step 5: Solve for x
    x = 181,830,605,056/181,237
  6. Step 6: Final answer
    x = 1,003,275.30

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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.