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Finding the Third Proportional to 119,947.50 and 254,655.56

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Solution

The third proportional to 119,947.50 and 254,655.56 is: 540,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,947.50 : 254,655.56 = 254,655.56 : x
  2. Step 2: Convert to fraction form
    119,947.50/254,655.56 = 254,655.56/x
  3. Step 3: Cross multiply
    119,947.50x = 254,655.56 × 254,655.56
  4. Step 4: Simplify right side
    119,947.50x = 64,849,455,512.19
  5. Step 5: Solve for x
    x = 64,849,455,512.19/119,947.50
  6. Step 6: Final answer
    x = 540,648.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.