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Finding the Third Proportional to 119,309.63 and 257,299.88

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Solution

The third proportional to 119,309.63 and 257,299.88 is: 554,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309.63 : 257,299.88 = 257,299.88 : x
  2. Step 2: Convert to fraction form
    119,309.63/257,299.88 = 257,299.88/x
  3. Step 3: Cross multiply
    119,309.63x = 257,299.88 × 257,299.88
  4. Step 4: Simplify right side
    119,309.63x = 66,203,225,675.02
  5. Step 5: Solve for x
    x = 66,203,225,675.02/119,309.63
  6. Step 6: Final answer
    x = 554,885.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.