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Finding the Third Proportional to 133,566 and 290,316

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Solution

The third proportional to 133,566 and 290,316 is: 631,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566 : 290,316 = 290,316 : x
  2. Step 2: Convert to fraction form
    133,566/290,316 = 290,316/x
  3. Step 3: Cross multiply
    133,566x = 290,316 × 290,316
  4. Step 4: Simplify right side
    133,566x = 84,283,379,856
  5. Step 5: Solve for x
    x = 84,283,379,856/133,566
  6. Step 6: Final answer
    x = 631,024.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.