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Finding the Third Proportional to 207,230 and 429,202

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Solution

The third proportional to 207,230 and 429,202 is: 888,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,230 : 429,202 = 429,202 : x
  2. Step 2: Convert to fraction form
    207,230/429,202 = 429,202/x
  3. Step 3: Cross multiply
    207,230x = 429,202 × 429,202
  4. Step 4: Simplify right side
    207,230x = 184,214,356,804
  5. Step 5: Solve for x
    x = 184,214,356,804/207,230
  6. Step 6: Final answer
    x = 888,936.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.