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Finding the Third Proportional to 127,560.50 and 278,085

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Solution

The third proportional to 127,560.50 and 278,085 is: 606,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,560.50 : 278,085 = 278,085 : x
  2. Step 2: Convert to fraction form
    127,560.50/278,085 = 278,085/x
  3. Step 3: Cross multiply
    127,560.50x = 278,085 × 278,085
  4. Step 4: Simplify right side
    127,560.50x = 77,331,267,225
  5. Step 5: Solve for x
    x = 77,331,267,225/127,560.50
  6. Step 6: Final answer
    x = 606,232.08

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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.