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Finding the Third Proportional to 150,858.63 and 207,809.38

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Solution

The third proportional to 150,858.63 and 207,809.38 is: 286,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.63 : 207,809.38 = 207,809.38 : x
  2. Step 2: Convert to fraction form
    150,858.63/207,809.38 = 207,809.38/x
  3. Step 3: Cross multiply
    150,858.63x = 207,809.38 × 207,809.38
  4. Step 4: Simplify right side
    150,858.63x = 43,184,736,337.89
  5. Step 5: Solve for x
    x = 43,184,736,337.89/150,858.63
  6. Step 6: Final answer
    x = 286,259.64

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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.