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Finding the Third Proportional to 145,863 and 322,344

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Solution

The third proportional to 145,863 and 322,344 is: 712,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863 : 322,344 = 322,344 : x
  2. Step 2: Convert to fraction form
    145,863/322,344 = 322,344/x
  3. Step 3: Cross multiply
    145,863x = 322,344 × 322,344
  4. Step 4: Simplify right side
    145,863x = 103,905,654,336
  5. Step 5: Solve for x
    x = 103,905,654,336/145,863
  6. Step 6: Final answer
    x = 712,351.00

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.