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Finding the Third Proportional to 94,303 and 205,453

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Solution

The third proportional to 94,303 and 205,453 is: 447,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,303 : 205,453 = 205,453 : x
  2. Step 2: Convert to fraction form
    94,303/205,453 = 205,453/x
  3. Step 3: Cross multiply
    94,303x = 205,453 × 205,453
  4. Step 4: Simplify right side
    94,303x = 42,210,935,209
  5. Step 5: Solve for x
    x = 42,210,935,209/94,303
  6. Step 6: Final answer
    x = 447,609.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.