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Finding the Third Proportional to 110,882 and 237,316

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Solution

The third proportional to 110,882 and 237,316 is: 507,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,882 : 237,316 = 237,316 : x
  2. Step 2: Convert to fraction form
    110,882/237,316 = 237,316/x
  3. Step 3: Cross multiply
    110,882x = 237,316 × 237,316
  4. Step 4: Simplify right side
    110,882x = 56,318,883,856
  5. Step 5: Solve for x
    x = 56,318,883,856/110,882
  6. Step 6: Final answer
    x = 507,917.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.