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Finding the Third Proportional to 233,311.50 and 316,590.75

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Solution

The third proportional to 233,311.50 and 316,590.75 is: 429,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311.50 : 316,590.75 = 316,590.75 : x
  2. Step 2: Convert to fraction form
    233,311.50/316,590.75 = 316,590.75/x
  3. Step 3: Cross multiply
    233,311.50x = 316,590.75 × 316,590.75
  4. Step 4: Simplify right side
    233,311.50x = 100,229,702,985.56
  5. Step 5: Solve for x
    x = 100,229,702,985.56/233,311.50
  6. Step 6: Final answer
    x = 429,596.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.