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Finding the Third Proportional to 152,262 and 223,416

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Solution

The third proportional to 152,262 and 223,416 is: 327,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,262 : 223,416 = 223,416 : x
  2. Step 2: Convert to fraction form
    152,262/223,416 = 223,416/x
  3. Step 3: Cross multiply
    152,262x = 223,416 × 223,416
  4. Step 4: Simplify right side
    152,262x = 49,914,709,056
  5. Step 5: Solve for x
    x = 49,914,709,056/152,262
  6. Step 6: Final answer
    x = 327,821.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.