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Finding the Third Proportional to 116,056.50 and 253,983

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Solution

The third proportional to 116,056.50 and 253,983 is: 555,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,056.50 : 253,983 = 253,983 : x
  2. Step 2: Convert to fraction form
    116,056.50/253,983 = 253,983/x
  3. Step 3: Cross multiply
    116,056.50x = 253,983 × 253,983
  4. Step 4: Simplify right side
    116,056.50x = 64,507,364,289
  5. Step 5: Solve for x
    x = 64,507,364,289/116,056.50
  6. Step 6: Final answer
    x = 555,827.24

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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.