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Finding the Third Proportional to 208,068.75 and 330,783.75

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Solution

The third proportional to 208,068.75 and 330,783.75 is: 525,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,068.75 : 330,783.75 = 330,783.75 : x
  2. Step 2: Convert to fraction form
    208,068.75/330,783.75 = 330,783.75/x
  3. Step 3: Cross multiply
    208,068.75x = 330,783.75 × 330,783.75
  4. Step 4: Simplify right side
    208,068.75x = 109,417,889,264.06
  5. Step 5: Solve for x
    x = 109,417,889,264.06/208,068.75
  6. Step 6: Final answer
    x = 525,873.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.