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Finding the Third Proportional to 110,154 and 237,822

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Solution

The third proportional to 110,154 and 237,822 is: 513,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,154 : 237,822 = 237,822 : x
  2. Step 2: Convert to fraction form
    110,154/237,822 = 237,822/x
  3. Step 3: Cross multiply
    110,154x = 237,822 × 237,822
  4. Step 4: Simplify right side
    110,154x = 56,559,303,684
  5. Step 5: Solve for x
    x = 56,559,303,684/110,154
  6. Step 6: Final answer
    x = 513,456.65

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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.