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Finding the Third Proportional to 149,903.63 and 230,644.13

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Solution

The third proportional to 149,903.63 and 230,644.13 is: 354,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,903.63 : 230,644.13 = 230,644.13 : x
  2. Step 2: Convert to fraction form
    149,903.63/230,644.13 = 230,644.13/x
  3. Step 3: Cross multiply
    149,903.63x = 230,644.13 × 230,644.13
  4. Step 4: Simplify right side
    149,903.63x = 53,196,712,397.02
  5. Step 5: Solve for x
    x = 53,196,712,397.02/149,903.63
  6. Step 6: Final answer
    x = 354,872.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.