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Finding the Third Proportional to 115,664.63 and 253,472.63

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Solution

The third proportional to 115,664.63 and 253,472.63 is: 555,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,664.63 : 253,472.63 = 253,472.63 : x
  2. Step 2: Convert to fraction form
    115,664.63/253,472.63 = 253,472.63/x
  3. Step 3: Cross multiply
    115,664.63x = 253,472.63 × 253,472.63
  4. Step 4: Simplify right side
    115,664.63x = 64,248,371,624.39
  5. Step 5: Solve for x
    x = 64,248,371,624.39/115,664.63
  6. Step 6: Final answer
    x = 555,471.23

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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.