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Finding the Third Proportional to 190,140 and 403,628

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Solution

The third proportional to 190,140 and 403,628 is: 856,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,140 : 403,628 = 403,628 : x
  2. Step 2: Convert to fraction form
    190,140/403,628 = 403,628/x
  3. Step 3: Cross multiply
    190,140x = 403,628 × 403,628
  4. Step 4: Simplify right side
    190,140x = 162,915,562,384
  5. Step 5: Solve for x
    x = 162,915,562,384/190,140
  6. Step 6: Final answer
    x = 856,818.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.