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Finding the Third Proportional to 115,713.50 and 253,621

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Solution

The third proportional to 115,713.50 and 253,621 is: 555,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,713.50 : 253,621 = 253,621 : x
  2. Step 2: Convert to fraction form
    115,713.50/253,621 = 253,621/x
  3. Step 3: Cross multiply
    115,713.50x = 253,621 × 253,621
  4. Step 4: Simplify right side
    115,713.50x = 64,323,611,641
  5. Step 5: Solve for x
    x = 64,323,611,641/115,713.50
  6. Step 6: Final answer
    x = 555,886.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.