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Finding the Third Proportional to 120,512.81 and 230,090.63

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Solution

The third proportional to 120,512.81 and 230,090.63 is: 439,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,512.81 : 230,090.63 = 230,090.63 : x
  2. Step 2: Convert to fraction form
    120,512.81/230,090.63 = 230,090.63/x
  3. Step 3: Cross multiply
    120,512.81x = 230,090.63 × 230,090.63
  4. Step 4: Simplify right side
    120,512.81x = 52,941,695,712.89
  5. Step 5: Solve for x
    x = 52,941,695,712.89/120,512.81
  6. Step 6: Final answer
    x = 439,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.