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Finding the Third Proportional to 238,154 and 513,700

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Solution

The third proportional to 238,154 and 513,700 is: 1,108,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,154 : 513,700 = 513,700 : x
  2. Step 2: Convert to fraction form
    238,154/513,700 = 513,700/x
  3. Step 3: Cross multiply
    238,154x = 513,700 × 513,700
  4. Step 4: Simplify right side
    238,154x = 263,887,690,000
  5. Step 5: Solve for x
    x = 263,887,690,000/238,154
  6. Step 6: Final answer
    x = 1,108,054.83

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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.