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Finding the Third Proportional to 175,006 and 262,453

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Solution

The third proportional to 175,006 and 262,453 is: 393,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,006 : 262,453 = 262,453 : x
  2. Step 2: Convert to fraction form
    175,006/262,453 = 262,453/x
  3. Step 3: Cross multiply
    175,006x = 262,453 × 262,453
  4. Step 4: Simplify right side
    175,006x = 68,881,577,209
  5. Step 5: Solve for x
    x = 68,881,577,209/175,006
  6. Step 6: Final answer
    x = 393,595.52

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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.