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Finding the Third Proportional to 233,599.88 and 367,000.88

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Solution

The third proportional to 233,599.88 and 367,000.88 is: 576,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,599.88 : 367,000.88 = 367,000.88 : x
  2. Step 2: Convert to fraction form
    233,599.88/367,000.88 = 367,000.88/x
  3. Step 3: Cross multiply
    233,599.88x = 367,000.88 × 367,000.88
  4. Step 4: Simplify right side
    233,599.88x = 134,689,642,250.77
  5. Step 5: Solve for x
    x = 134,689,642,250.77/233,599.88
  6. Step 6: Final answer
    x = 576,582.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.