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Finding the Third Proportional to 217,929 and 333,232.50

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Solution

The third proportional to 217,929 and 333,232.50 is: 509,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,929 : 333,232.50 = 333,232.50 : x
  2. Step 2: Convert to fraction form
    217,929/333,232.50 = 333,232.50/x
  3. Step 3: Cross multiply
    217,929x = 333,232.50 × 333,232.50
  4. Step 4: Simplify right side
    217,929x = 111,043,899,056.25
  5. Step 5: Solve for x
    x = 111,043,899,056.25/217,929
  6. Step 6: Final answer
    x = 509,541.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.