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Finding the Third Proportional to 119,144.81 and 256,595.63

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Solution

The third proportional to 119,144.81 and 256,595.63 is: 552,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.81 : 256,595.63 = 256,595.63 : x
  2. Step 2: Convert to fraction form
    119,144.81/256,595.63 = 256,595.63/x
  3. Step 3: Cross multiply
    119,144.81x = 256,595.63 × 256,595.63
  4. Step 4: Simplify right side
    119,144.81x = 65,841,314,769.14
  5. Step 5: Solve for x
    x = 65,841,314,769.14/119,144.81
  6. Step 6: Final answer
    x = 552,615.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.