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Finding the Third Proportional to 175,250.25 and 262,580.91

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Solution

The third proportional to 175,250.25 and 262,580.91 is: 393,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,250.25 : 262,580.91 = 262,580.91 : x
  2. Step 2: Convert to fraction form
    175,250.25/262,580.91 = 262,580.91/x
  3. Step 3: Cross multiply
    175,250.25x = 262,580.91 × 262,580.91
  4. Step 4: Simplify right side
    175,250.25x = 68,948,732,327.07
  5. Step 5: Solve for x
    x = 68,948,732,327.07/175,250.25
  6. Step 6: Final answer
    x = 393,430.15

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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.