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Finding the Third Proportional to 190,560 and 429,672

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Solution

The third proportional to 190,560 and 429,672 is: 968,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,560 : 429,672 = 429,672 : x
  2. Step 2: Convert to fraction form
    190,560/429,672 = 429,672/x
  3. Step 3: Cross multiply
    190,560x = 429,672 × 429,672
  4. Step 4: Simplify right side
    190,560x = 184,618,027,584
  5. Step 5: Solve for x
    x = 184,618,027,584/190,560
  6. Step 6: Final answer
    x = 968,818.36

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.