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Finding the Third Proportional to 260,275.50 and 354,582

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Solution

The third proportional to 260,275.50 and 354,582 is: 483,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,275.50 : 354,582 = 354,582 : x
  2. Step 2: Convert to fraction form
    260,275.50/354,582 = 354,582/x
  3. Step 3: Cross multiply
    260,275.50x = 354,582 × 354,582
  4. Step 4: Simplify right side
    260,275.50x = 125,728,394,724
  5. Step 5: Solve for x
    x = 125,728,394,724/260,275.50
  6. Step 6: Final answer
    x = 483,058.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.