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Finding the Third Proportional to 117,088.38 and 276,311.13

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Solution

The third proportional to 117,088.38 and 276,311.13 is: 652,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,088.38 : 276,311.13 = 276,311.13 : x
  2. Step 2: Convert to fraction form
    117,088.38/276,311.13 = 276,311.13/x
  3. Step 3: Cross multiply
    117,088.38x = 276,311.13 × 276,311.13
  4. Step 4: Simplify right side
    117,088.38x = 76,347,837,798.77
  5. Step 5: Solve for x
    x = 76,347,837,798.77/117,088.38
  6. Step 6: Final answer
    x = 652,053.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.