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Finding the Third Proportional to 145,463 and 308,536

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Solution

The third proportional to 145,463 and 308,536 is: 654,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,463 : 308,536 = 308,536 : x
  2. Step 2: Convert to fraction form
    145,463/308,536 = 308,536/x
  3. Step 3: Cross multiply
    145,463x = 308,536 × 308,536
  4. Step 4: Simplify right side
    145,463x = 95,194,463,296
  5. Step 5: Solve for x
    x = 95,194,463,296/145,463
  6. Step 6: Final answer
    x = 654,423.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.