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Finding the Third Proportional to 136,438.69 and 287,014.50

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Solution

The third proportional to 136,438.69 and 287,014.50 is: 603,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,438.69 : 287,014.50 = 287,014.50 : x
  2. Step 2: Convert to fraction form
    136,438.69/287,014.50 = 287,014.50/x
  3. Step 3: Cross multiply
    136,438.69x = 287,014.50 × 287,014.50
  4. Step 4: Simplify right side
    136,438.69x = 82,377,323,210.25
  5. Step 5: Solve for x
    x = 82,377,323,210.25/136,438.69
  6. Step 6: Final answer
    x = 603,768.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.