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Finding the Third Proportional to 103,402 and 223,310

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Solution

The third proportional to 103,402 and 223,310 is: 482,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,402 : 223,310 = 223,310 : x
  2. Step 2: Convert to fraction form
    103,402/223,310 = 223,310/x
  3. Step 3: Cross multiply
    103,402x = 223,310 × 223,310
  4. Step 4: Simplify right side
    103,402x = 49,867,356,100
  5. Step 5: Solve for x
    x = 49,867,356,100/103,402
  6. Step 6: Final answer
    x = 482,266.84

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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.