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Finding the Third Proportional to 113,820.19 and 244,247.91

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Solution

The third proportional to 113,820.19 and 244,247.91 is: 524,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820.19 : 244,247.91 = 244,247.91 : x
  2. Step 2: Convert to fraction form
    113,820.19/244,247.91 = 244,247.91/x
  3. Step 3: Cross multiply
    113,820.19x = 244,247.91 × 244,247.91
  4. Step 4: Simplify right side
    113,820.19x = 59,657,039,707.51
  5. Step 5: Solve for x
    x = 59,657,039,707.51/113,820.19
  6. Step 6: Final answer
    x = 524,134.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.