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Finding the Third Proportional to 175,261 and 262,594

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Solution

The third proportional to 175,261 and 262,594 is: 393,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,261 : 262,594 = 262,594 : x
  2. Step 2: Convert to fraction form
    175,261/262,594 = 262,594/x
  3. Step 3: Cross multiply
    175,261x = 262,594 × 262,594
  4. Step 4: Simplify right side
    175,261x = 68,955,608,836
  5. Step 5: Solve for x
    x = 68,955,608,836/175,261
  6. Step 6: Final answer
    x = 393,445.25

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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.