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Finding the Third Proportional to 90,624 and 210,700

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Solution

The third proportional to 90,624 and 210,700 is: 489,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,624 : 210,700 = 210,700 : x
  2. Step 2: Convert to fraction form
    90,624/210,700 = 210,700/x
  3. Step 3: Cross multiply
    90,624x = 210,700 × 210,700
  4. Step 4: Simplify right side
    90,624x = 44,394,490,000
  5. Step 5: Solve for x
    x = 44,394,490,000/90,624
  6. Step 6: Final answer
    x = 489,875.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.