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Finding the Third Proportional to 116,928 and 254,576

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Solution

The third proportional to 116,928 and 254,576 is: 554,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,928 : 254,576 = 254,576 : x
  2. Step 2: Convert to fraction form
    116,928/254,576 = 254,576/x
  3. Step 3: Cross multiply
    116,928x = 254,576 × 254,576
  4. Step 4: Simplify right side
    116,928x = 64,808,939,776
  5. Step 5: Solve for x
    x = 64,808,939,776/116,928
  6. Step 6: Final answer
    x = 554,263.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.