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Finding the Third Proportional to 233,187.75 and 503,595

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Solution

The third proportional to 233,187.75 and 503,595 is: 1,087,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 503,595 = 503,595 : x
  2. Step 2: Convert to fraction form
    233,187.75/503,595 = 503,595/x
  3. Step 3: Cross multiply
    233,187.75x = 503,595 × 503,595
  4. Step 4: Simplify right side
    233,187.75x = 253,607,924,025
  5. Step 5: Solve for x
    x = 253,607,924,025/233,187.75
  6. Step 6: Final answer
    x = 1,087,569.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.