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Finding the Third Proportional to 114,218 and 181,887

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Solution

The third proportional to 114,218 and 181,887 is: 289,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,218 : 181,887 = 181,887 : x
  2. Step 2: Convert to fraction form
    114,218/181,887 = 181,887/x
  3. Step 3: Cross multiply
    114,218x = 181,887 × 181,887
  4. Step 4: Simplify right side
    114,218x = 33,082,880,769
  5. Step 5: Solve for x
    x = 33,082,880,769/114,218
  6. Step 6: Final answer
    x = 289,646.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.