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Finding the Third Proportional to 64,200.41 and 155,349.62

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Solution

The third proportional to 64,200.41 and 155,349.62 is: 375,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,200.41 : 155,349.62 = 155,349.62 : x
  2. Step 2: Convert to fraction form
    64,200.41/155,349.62 = 155,349.62/x
  3. Step 3: Cross multiply
    64,200.41x = 155,349.62 × 155,349.62
  4. Step 4: Simplify right side
    64,200.41x = 24,133,502,953.47
  5. Step 5: Solve for x
    x = 24,133,502,953.47/64,200.41
  6. Step 6: Final answer
    x = 375,908.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.