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Finding the Third Proportional to 208,175.06 and 311,693.06

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Solution

The third proportional to 208,175.06 and 311,693.06 is: 466,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,175.06 : 311,693.06 = 311,693.06 : x
  2. Step 2: Convert to fraction form
    208,175.06/311,693.06 = 311,693.06/x
  3. Step 3: Cross multiply
    208,175.06x = 311,693.06 × 311,693.06
  4. Step 4: Simplify right side
    208,175.06x = 97,152,565,210.63
  5. Step 5: Solve for x
    x = 97,152,565,210.63/208,175.06
  6. Step 6: Final answer
    x = 466,686.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.