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Finding the Third Proportional to 190,368 and 283,332

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Solution

The third proportional to 190,368 and 283,332 is: 421,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,368 : 283,332 = 283,332 : x
  2. Step 2: Convert to fraction form
    190,368/283,332 = 283,332/x
  3. Step 3: Cross multiply
    190,368x = 283,332 × 283,332
  4. Step 4: Simplify right side
    190,368x = 80,277,022,224
  5. Step 5: Solve for x
    x = 80,277,022,224/190,368
  6. Step 6: Final answer
    x = 421,693.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.