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Finding the Third Proportional to 190,152 and 385,572

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Solution

The third proportional to 190,152 and 385,572 is: 781,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,152 : 385,572 = 385,572 : x
  2. Step 2: Convert to fraction form
    190,152/385,572 = 385,572/x
  3. Step 3: Cross multiply
    190,152x = 385,572 × 385,572
  4. Step 4: Simplify right side
    190,152x = 148,665,767,184
  5. Step 5: Solve for x
    x = 148,665,767,184/190,152
  6. Step 6: Final answer
    x = 781,825.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.