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Finding the Third Proportional to 110,862 and 251,316

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Solution

The third proportional to 110,862 and 251,316 is: 569,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,862 : 251,316 = 251,316 : x
  2. Step 2: Convert to fraction form
    110,862/251,316 = 251,316/x
  3. Step 3: Cross multiply
    110,862x = 251,316 × 251,316
  4. Step 4: Simplify right side
    110,862x = 63,159,731,856
  5. Step 5: Solve for x
    x = 63,159,731,856/110,862
  6. Step 6: Final answer
    x = 569,714.89

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.