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Finding the Third Proportional to 136,914 and 299,594.50

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Solution

The third proportional to 136,914 and 299,594.50 is: 655,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,914 : 299,594.50 = 299,594.50 : x
  2. Step 2: Convert to fraction form
    136,914/299,594.50 = 299,594.50/x
  3. Step 3: Cross multiply
    136,914x = 299,594.50 × 299,594.50
  4. Step 4: Simplify right side
    136,914x = 89,756,864,430.25
  5. Step 5: Solve for x
    x = 89,756,864,430.25/136,914
  6. Step 6: Final answer
    x = 655,571.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.