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Finding the Third Proportional to 116,307.56 and 174,507.75

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Solution

The third proportional to 116,307.56 and 174,507.75 is: 261,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,307.56 : 174,507.75 = 174,507.75 : x
  2. Step 2: Convert to fraction form
    116,307.56/174,507.75 = 174,507.75/x
  3. Step 3: Cross multiply
    116,307.56x = 174,507.75 × 174,507.75
  4. Step 4: Simplify right side
    116,307.56x = 30,452,954,810.06
  5. Step 5: Solve for x
    x = 30,452,954,810.06/116,307.56
  6. Step 6: Final answer
    x = 261,831.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.