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Finding the Third Proportional to 150,715.13 and 207,617.63

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Solution

The third proportional to 150,715.13 and 207,617.63 is: 286,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715.13 : 207,617.63 = 207,617.63 : x
  2. Step 2: Convert to fraction form
    150,715.13/207,617.63 = 207,617.63/x
  3. Step 3: Cross multiply
    150,715.13x = 207,617.63 × 207,617.63
  4. Step 4: Simplify right side
    150,715.13x = 43,105,078,210.64
  5. Step 5: Solve for x
    x = 43,105,078,210.64/150,715.13
  6. Step 6: Final answer
    x = 286,003.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.