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Finding the Third Proportional to 113,661.19 and 239,303.63

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Solution

The third proportional to 113,661.19 and 239,303.63 is: 503,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,661.19 : 239,303.63 = 239,303.63 : x
  2. Step 2: Convert to fraction form
    113,661.19/239,303.63 = 239,303.63/x
  3. Step 3: Cross multiply
    113,661.19x = 239,303.63 × 239,303.63
  4. Step 4: Simplify right side
    113,661.19x = 57,266,224,938.14
  5. Step 5: Solve for x
    x = 57,266,224,938.14/113,661.19
  6. Step 6: Final answer
    x = 503,832.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.