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Finding the Third Proportional to 193,316 and 289,074

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Solution

The third proportional to 193,316 and 289,074 is: 432,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,316 : 289,074 = 289,074 : x
  2. Step 2: Convert to fraction form
    193,316/289,074 = 289,074/x
  3. Step 3: Cross multiply
    193,316x = 289,074 × 289,074
  4. Step 4: Simplify right side
    193,316x = 83,563,777,476
  5. Step 5: Solve for x
    x = 83,563,777,476/193,316
  6. Step 6: Final answer
    x = 432,265.19

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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.