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Finding the Third Proportional to 94,402 and 205,237

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Solution

The third proportional to 94,402 and 205,237 is: 446,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,402 : 205,237 = 205,237 : x
  2. Step 2: Convert to fraction form
    94,402/205,237 = 205,237/x
  3. Step 3: Cross multiply
    94,402x = 205,237 × 205,237
  4. Step 4: Simplify right side
    94,402x = 42,122,226,169
  5. Step 5: Solve for x
    x = 42,122,226,169/94,402
  6. Step 6: Final answer
    x = 446,200.57

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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.