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Finding the Third Proportional to 116,463 and 248,178

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Solution

The third proportional to 116,463 and 248,178 is: 528,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,463 : 248,178 = 248,178 : x
  2. Step 2: Convert to fraction form
    116,463/248,178 = 248,178/x
  3. Step 3: Cross multiply
    116,463x = 248,178 × 248,178
  4. Step 4: Simplify right side
    116,463x = 61,592,319,684
  5. Step 5: Solve for x
    x = 61,592,319,684/116,463
  6. Step 6: Final answer
    x = 528,857.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.