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Finding the Third Proportional to 193,570 and 288,273

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Solution

The third proportional to 193,570 and 288,273 is: 429,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,570 : 288,273 = 288,273 : x
  2. Step 2: Convert to fraction form
    193,570/288,273 = 288,273/x
  3. Step 3: Cross multiply
    193,570x = 288,273 × 288,273
  4. Step 4: Simplify right side
    193,570x = 83,101,322,529
  5. Step 5: Solve for x
    x = 83,101,322,529/193,570
  6. Step 6: Final answer
    x = 429,308.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.