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Finding the Third Proportional to 231,700.50 and 370,032.75

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Solution

The third proportional to 231,700.50 and 370,032.75 is: 590,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,700.50 : 370,032.75 = 370,032.75 : x
  2. Step 2: Convert to fraction form
    231,700.50/370,032.75 = 370,032.75/x
  3. Step 3: Cross multiply
    231,700.50x = 370,032.75 × 370,032.75
  4. Step 4: Simplify right side
    231,700.50x = 136,924,236,072.56
  5. Step 5: Solve for x
    x = 136,924,236,072.56/231,700.50
  6. Step 6: Final answer
    x = 590,953.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.