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Finding the Third Proportional to 116,720 and 256,133

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Solution

The third proportional to 116,720 and 256,133 is: 562,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,720 : 256,133 = 256,133 : x
  2. Step 2: Convert to fraction form
    116,720/256,133 = 256,133/x
  3. Step 3: Cross multiply
    116,720x = 256,133 × 256,133
  4. Step 4: Simplify right side
    116,720x = 65,604,113,689
  5. Step 5: Solve for x
    x = 65,604,113,689/116,720
  6. Step 6: Final answer
    x = 562,064.03

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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.