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Finding the Third Proportional to 242,725.50 and 516,069

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Solution

The third proportional to 242,725.50 and 516,069 is: 1,097,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,725.50 : 516,069 = 516,069 : x
  2. Step 2: Convert to fraction form
    242,725.50/516,069 = 516,069/x
  3. Step 3: Cross multiply
    242,725.50x = 516,069 × 516,069
  4. Step 4: Simplify right side
    242,725.50x = 266,327,212,761
  5. Step 5: Solve for x
    x = 266,327,212,761/242,725.50
  6. Step 6: Final answer
    x = 1,097,236.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.