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Finding the Third Proportional to 253,532.53 and 392,044.67

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Solution

The third proportional to 253,532.53 and 392,044.67 is: 606,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,532.53 : 392,044.67 = 392,044.67 : x
  2. Step 2: Convert to fraction form
    253,532.53/392,044.67 = 392,044.67/x
  3. Step 3: Cross multiply
    253,532.53x = 392,044.67 × 392,044.67
  4. Step 4: Simplify right side
    253,532.53x = 153,699,020,917.01
  5. Step 5: Solve for x
    x = 153,699,020,917.01/253,532.53
  6. Step 6: Final answer
    x = 606,229.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.