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Finding the Third Proportional to 131,313 and 288,156

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Solution

The third proportional to 131,313 and 288,156 is: 632,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,313 : 288,156 = 288,156 : x
  2. Step 2: Convert to fraction form
    131,313/288,156 = 288,156/x
  3. Step 3: Cross multiply
    131,313x = 288,156 × 288,156
  4. Step 4: Simplify right side
    131,313x = 83,033,880,336
  5. Step 5: Solve for x
    x = 83,033,880,336/131,313
  6. Step 6: Final answer
    x = 632,335.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.