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Finding the Third Proportional to 124,541.30 and 257,944.50

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Solution

The third proportional to 124,541.30 and 257,944.50 is: 534,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,541.30 : 257,944.50 = 257,944.50 : x
  2. Step 2: Convert to fraction form
    124,541.30/257,944.50 = 257,944.50/x
  3. Step 3: Cross multiply
    124,541.30x = 257,944.50 × 257,944.50
  4. Step 4: Simplify right side
    124,541.30x = 66,535,365,080.25
  5. Step 5: Solve for x
    x = 66,535,365,080.25/124,541.30
  6. Step 6: Final answer
    x = 534,243.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.