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Finding the Third Proportional to 200,066.63 and 306,760.50

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Solution

The third proportional to 200,066.63 and 306,760.50 is: 470,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,066.63 : 306,760.50 = 306,760.50 : x
  2. Step 2: Convert to fraction form
    200,066.63/306,760.50 = 306,760.50/x
  3. Step 3: Cross multiply
    200,066.63x = 306,760.50 × 306,760.50
  4. Step 4: Simplify right side
    200,066.63x = 94,102,004,360.25
  5. Step 5: Solve for x
    x = 94,102,004,360.25/200,066.63
  6. Step 6: Final answer
    x = 470,353.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.