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Finding the Third Proportional to 116,569.13 and 209,152.13

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Solution

The third proportional to 116,569.13 and 209,152.13 is: 375,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569.13 : 209,152.13 = 209,152.13 : x
  2. Step 2: Convert to fraction form
    116,569.13/209,152.13 = 209,152.13/x
  3. Step 3: Cross multiply
    116,569.13x = 209,152.13 × 209,152.13
  4. Step 4: Simplify right side
    116,569.13x = 43,744,611,392.02
  5. Step 5: Solve for x
    x = 43,744,611,392.02/116,569.13
  6. Step 6: Final answer
    x = 375,267.56

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.