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Finding the Third Proportional to 117,088 and 252,896

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Solution

The third proportional to 117,088 and 252,896 is: 546,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,088 : 252,896 = 252,896 : x
  2. Step 2: Convert to fraction form
    117,088/252,896 = 252,896/x
  3. Step 3: Cross multiply
    117,088x = 252,896 × 252,896
  4. Step 4: Simplify right side
    117,088x = 63,956,386,816
  5. Step 5: Solve for x
    x = 63,956,386,816/117,088
  6. Step 6: Final answer
    x = 546,224.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.