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Finding the Third Proportional to 328,089.38 and 469,168.88

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Solution

The third proportional to 328,089.38 and 469,168.88 is: 670,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,089.38 : 469,168.88 = 469,168.88 : x
  2. Step 2: Convert to fraction form
    328,089.38/469,168.88 = 469,168.88/x
  3. Step 3: Cross multiply
    328,089.38x = 469,168.88 × 469,168.88
  4. Step 4: Simplify right side
    328,089.38x = 220,119,433,268.77
  5. Step 5: Solve for x
    x = 220,119,433,268.77/328,089.38
  6. Step 6: Final answer
    x = 670,913.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.