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Finding the Third Proportional to 160,592.63 and 328,262.63

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Solution

The third proportional to 160,592.63 and 328,262.63 is: 670,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,592.63 : 328,262.63 = 328,262.63 : x
  2. Step 2: Convert to fraction form
    160,592.63/328,262.63 = 328,262.63/x
  3. Step 3: Cross multiply
    160,592.63x = 328,262.63 × 328,262.63
  4. Step 4: Simplify right side
    160,592.63x = 107,756,350,971.89
  5. Step 5: Solve for x
    x = 107,756,350,971.89/160,592.63
  6. Step 6: Final answer
    x = 670,991.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.