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Finding the Third Proportional to 175,095 and 264,222

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Solution

The third proportional to 175,095 and 264,222 is: 398,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,095 : 264,222 = 264,222 : x
  2. Step 2: Convert to fraction form
    175,095/264,222 = 264,222/x
  3. Step 3: Cross multiply
    175,095x = 264,222 × 264,222
  4. Step 4: Simplify right side
    175,095x = 69,813,265,284
  5. Step 5: Solve for x
    x = 69,813,265,284/175,095
  6. Step 6: Final answer
    x = 398,716.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.