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Finding the Third Proportional to 117,277.88 and 256,699.13

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Solution

The third proportional to 117,277.88 and 256,699.13 is: 561,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,277.88 : 256,699.13 = 256,699.13 : x
  2. Step 2: Convert to fraction form
    117,277.88/256,699.13 = 256,699.13/x
  3. Step 3: Cross multiply
    117,277.88x = 256,699.13 × 256,699.13
  4. Step 4: Simplify right side
    117,277.88x = 65,894,440,775.77
  5. Step 5: Solve for x
    x = 65,894,440,775.77/117,277.88
  6. Step 6: Final answer
    x = 561,865.92

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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.