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Finding the Third Proportional to 193,312 and 289,068

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Solution

The third proportional to 193,312 and 289,068 is: 432,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,312 : 289,068 = 289,068 : x
  2. Step 2: Convert to fraction form
    193,312/289,068 = 289,068/x
  3. Step 3: Cross multiply
    193,312x = 289,068 × 289,068
  4. Step 4: Simplify right side
    193,312x = 83,560,308,624
  5. Step 5: Solve for x
    x = 83,560,308,624/193,312
  6. Step 6: Final answer
    x = 432,256.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.