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Finding the Third Proportional to 110,416 and 238,316

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Solution

The third proportional to 110,416 and 238,316 is: 514,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,416 : 238,316 = 238,316 : x
  2. Step 2: Convert to fraction form
    110,416/238,316 = 238,316/x
  3. Step 3: Cross multiply
    110,416x = 238,316 × 238,316
  4. Step 4: Simplify right side
    110,416x = 56,794,515,856
  5. Step 5: Solve for x
    x = 56,794,515,856/110,416
  6. Step 6: Final answer
    x = 514,368.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.