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Finding the Third Proportional to 133,312 and 212,010

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Solution

The third proportional to 133,312 and 212,010 is: 337,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,312 : 212,010 = 212,010 : x
  2. Step 2: Convert to fraction form
    133,312/212,010 = 212,010/x
  3. Step 3: Cross multiply
    133,312x = 212,010 × 212,010
  4. Step 4: Simplify right side
    133,312x = 44,948,240,100
  5. Step 5: Solve for x
    x = 44,948,240,100/133,312
  6. Step 6: Final answer
    x = 337,165.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.