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Finding the Third Proportional to 254,280 and 344,952

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Solution

The third proportional to 254,280 and 344,952 is: 467,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,280 : 344,952 = 344,952 : x
  2. Step 2: Convert to fraction form
    254,280/344,952 = 344,952/x
  3. Step 3: Cross multiply
    254,280x = 344,952 × 344,952
  4. Step 4: Simplify right side
    254,280x = 118,991,882,304
  5. Step 5: Solve for x
    x = 118,991,882,304/254,280
  6. Step 6: Final answer
    x = 467,956.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.