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Finding the Third Proportional to 199,663 and 301,572

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Solution

The third proportional to 199,663 and 301,572 is: 455,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,663 : 301,572 = 301,572 : x
  2. Step 2: Convert to fraction form
    199,663/301,572 = 301,572/x
  3. Step 3: Cross multiply
    199,663x = 301,572 × 301,572
  4. Step 4: Simplify right side
    199,663x = 90,945,671,184
  5. Step 5: Solve for x
    x = 90,945,671,184/199,663
  6. Step 6: Final answer
    x = 455,495.87

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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.