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Finding the Third Proportional to 97,446 and 210,435

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Solution

The third proportional to 97,446 and 210,435 is: 454,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,446 : 210,435 = 210,435 : x
  2. Step 2: Convert to fraction form
    97,446/210,435 = 210,435/x
  3. Step 3: Cross multiply
    97,446x = 210,435 × 210,435
  4. Step 4: Simplify right side
    97,446x = 44,282,889,225
  5. Step 5: Solve for x
    x = 44,282,889,225/97,446
  6. Step 6: Final answer
    x = 454,435.17

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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.