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Finding the Third Proportional to 137,396.25 and 289,552.50

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Solution

The third proportional to 137,396.25 and 289,552.50 is: 610,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,396.25 : 289,552.50 = 289,552.50 : x
  2. Step 2: Convert to fraction form
    137,396.25/289,552.50 = 289,552.50/x
  3. Step 3: Cross multiply
    137,396.25x = 289,552.50 × 289,552.50
  4. Step 4: Simplify right side
    137,396.25x = 83,840,650,256.25
  5. Step 5: Solve for x
    x = 83,840,650,256.25/137,396.25
  6. Step 6: Final answer
    x = 610,210.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.