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Finding the Third Proportional to 109,178 and 237,577

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Solution

The third proportional to 109,178 and 237,577 is: 516,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,178 : 237,577 = 237,577 : x
  2. Step 2: Convert to fraction form
    109,178/237,577 = 237,577/x
  3. Step 3: Cross multiply
    109,178x = 237,577 × 237,577
  4. Step 4: Simplify right side
    109,178x = 56,442,830,929
  5. Step 5: Solve for x
    x = 56,442,830,929/109,178
  6. Step 6: Final answer
    x = 516,979.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.