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Finding the Third Proportional to 208,164.75 and 432,691.50

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Solution

The third proportional to 208,164.75 and 432,691.50 is: 899,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164.75 : 432,691.50 = 432,691.50 : x
  2. Step 2: Convert to fraction form
    208,164.75/432,691.50 = 432,691.50/x
  3. Step 3: Cross multiply
    208,164.75x = 432,691.50 × 432,691.50
  4. Step 4: Simplify right side
    208,164.75x = 187,221,934,172.25
  5. Step 5: Solve for x
    x = 187,221,934,172.25/208,164.75
  6. Step 6: Final answer
    x = 899,393.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.