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Finding the Third Proportional to 153,784 and 332,832.50

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Solution

The third proportional to 153,784 and 332,832.50 is: 720,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,784 : 332,832.50 = 332,832.50 : x
  2. Step 2: Convert to fraction form
    153,784/332,832.50 = 332,832.50/x
  3. Step 3: Cross multiply
    153,784x = 332,832.50 × 332,832.50
  4. Step 4: Simplify right side
    153,784x = 110,777,473,056.25
  5. Step 5: Solve for x
    x = 110,777,473,056.25/153,784
  6. Step 6: Final answer
    x = 720,344.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.