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Finding the Third Proportional to 119,857 and 266,316

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Solution

The third proportional to 119,857 and 266,316 is: 591,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,857 : 266,316 = 266,316 : x
  2. Step 2: Convert to fraction form
    119,857/266,316 = 266,316/x
  3. Step 3: Cross multiply
    119,857x = 266,316 × 266,316
  4. Step 4: Simplify right side
    119,857x = 70,924,211,856
  5. Step 5: Solve for x
    x = 70,924,211,856/119,857
  6. Step 6: Final answer
    x = 591,740.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.