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Finding the Third Proportional to 152,905.50 and 325,494

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Solution

The third proportional to 152,905.50 and 325,494 is: 692,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,905.50 : 325,494 = 325,494 : x
  2. Step 2: Convert to fraction form
    152,905.50/325,494 = 325,494/x
  3. Step 3: Cross multiply
    152,905.50x = 325,494 × 325,494
  4. Step 4: Simplify right side
    152,905.50x = 105,946,344,036
  5. Step 5: Solve for x
    x = 105,946,344,036/152,905.50
  6. Step 6: Final answer
    x = 692,887.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.