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Finding the Third Proportional to 199,624 and 301,511

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Solution

The third proportional to 199,624 and 301,511 is: 455,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624 : 301,511 = 301,511 : x
  2. Step 2: Convert to fraction form
    199,624/301,511 = 301,511/x
  3. Step 3: Cross multiply
    199,624x = 301,511 × 301,511
  4. Step 4: Simplify right side
    199,624x = 90,908,883,121
  5. Step 5: Solve for x
    x = 90,908,883,121/199,624
  6. Step 6: Final answer
    x = 455,400.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.