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Finding the Third Proportional to 190,481 and 301,359

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Solution

The third proportional to 190,481 and 301,359 is: 476,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,481 : 301,359 = 301,359 : x
  2. Step 2: Convert to fraction form
    190,481/301,359 = 301,359/x
  3. Step 3: Cross multiply
    190,481x = 301,359 × 301,359
  4. Step 4: Simplify right side
    190,481x = 90,817,246,881
  5. Step 5: Solve for x
    x = 90,817,246,881/190,481
  6. Step 6: Final answer
    x = 476,778.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.