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Finding the Third Proportional to 107,316 and 223,463

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Solution

The third proportional to 107,316 and 223,463 is: 465,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,316 : 223,463 = 223,463 : x
  2. Step 2: Convert to fraction form
    107,316/223,463 = 223,463/x
  3. Step 3: Cross multiply
    107,316x = 223,463 × 223,463
  4. Step 4: Simplify right side
    107,316x = 49,935,712,369
  5. Step 5: Solve for x
    x = 49,935,712,369/107,316
  6. Step 6: Final answer
    x = 465,314.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.