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Finding the Third Proportional to 195,552 and 429,120

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Solution

The third proportional to 195,552 and 429,120 is: 941,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,552 : 429,120 = 429,120 : x
  2. Step 2: Convert to fraction form
    195,552/429,120 = 429,120/x
  3. Step 3: Cross multiply
    195,552x = 429,120 × 429,120
  4. Step 4: Simplify right side
    195,552x = 184,143,974,400
  5. Step 5: Solve for x
    x = 184,143,974,400/195,552
  6. Step 6: Final answer
    x = 941,662.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.