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Finding the Third Proportional to 208,969.50 and 452,931

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Solution

The third proportional to 208,969.50 and 452,931 is: 981,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,969.50 : 452,931 = 452,931 : x
  2. Step 2: Convert to fraction form
    208,969.50/452,931 = 452,931/x
  3. Step 3: Cross multiply
    208,969.50x = 452,931 × 452,931
  4. Step 4: Simplify right side
    208,969.50x = 205,146,490,761
  5. Step 5: Solve for x
    x = 205,146,490,761/208,969.50
  6. Step 6: Final answer
    x = 981,705.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.