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Finding the Third Proportional to 254,250 and 345,304.13

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Solution

The third proportional to 254,250 and 345,304.13 is: 468,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,250 : 345,304.13 = 345,304.13 : x
  2. Step 2: Convert to fraction form
    254,250/345,304.13 = 345,304.13/x
  3. Step 3: Cross multiply
    254,250x = 345,304.13 × 345,304.13
  4. Step 4: Simplify right side
    254,250x = 119,234,938,742.02
  5. Step 5: Solve for x
    x = 119,234,938,742.02/254,250
  6. Step 6: Final answer
    x = 468,967.31

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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.