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Finding the Third Proportional to 163,568 and 252,588

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Solution

The third proportional to 163,568 and 252,588 is: 390,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,568 : 252,588 = 252,588 : x
  2. Step 2: Convert to fraction form
    163,568/252,588 = 252,588/x
  3. Step 3: Cross multiply
    163,568x = 252,588 × 252,588
  4. Step 4: Simplify right side
    163,568x = 63,800,697,744
  5. Step 5: Solve for x
    x = 63,800,697,744/163,568
  6. Step 6: Final answer
    x = 390,056.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.