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Finding the Third Proportional to 114,808.96 and 181,018.39

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Solution

The third proportional to 114,808.96 and 181,018.39 is: 285,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,808.96 : 181,018.39 = 181,018.39 : x
  2. Step 2: Convert to fraction form
    114,808.96/181,018.39 = 181,018.39/x
  3. Step 3: Cross multiply
    114,808.96x = 181,018.39 × 181,018.39
  4. Step 4: Simplify right side
    114,808.96x = 32,767,657,037.36
  5. Step 5: Solve for x
    x = 32,767,657,037.36/114,808.96
  6. Step 6: Final answer
    x = 285,410.28

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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.