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Finding the Third Proportional to 207,201 and 429,144

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Solution

The third proportional to 207,201 and 429,144 is: 888,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,201 : 429,144 = 429,144 : x
  2. Step 2: Convert to fraction form
    207,201/429,144 = 429,144/x
  3. Step 3: Cross multiply
    207,201x = 429,144 × 429,144
  4. Step 4: Simplify right side
    207,201x = 184,164,572,736
  5. Step 5: Solve for x
    x = 184,164,572,736/207,201
  6. Step 6: Final answer
    x = 888,820.87

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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.