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Finding the Third Proportional to 150,858.38 and 207,808.88

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Solution

The third proportional to 150,858.38 and 207,808.88 is: 286,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.38 : 207,808.88 = 207,808.88 : x
  2. Step 2: Convert to fraction form
    150,858.38/207,808.88 = 207,808.88/x
  3. Step 3: Cross multiply
    150,858.38x = 207,808.88 × 207,808.88
  4. Step 4: Simplify right side
    150,858.38x = 43,184,528,528.77
  5. Step 5: Solve for x
    x = 43,184,528,528.77/150,858.38
  6. Step 6: Final answer
    x = 286,258.74

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Why These Related Problems?

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