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Finding the Third Proportional to 116,885.50 and 255,641

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Solution

The third proportional to 116,885.50 and 255,641 is: 559,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,885.50 : 255,641 = 255,641 : x
  2. Step 2: Convert to fraction form
    116,885.50/255,641 = 255,641/x
  3. Step 3: Cross multiply
    116,885.50x = 255,641 × 255,641
  4. Step 4: Simplify right side
    116,885.50x = 65,352,320,881
  5. Step 5: Solve for x
    x = 65,352,320,881/116,885.50
  6. Step 6: Final answer
    x = 559,114.01

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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.