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Finding the Third Proportional to 135,445.50 and 293,490

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Solution

The third proportional to 135,445.50 and 293,490 is: 635,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,445.50 : 293,490 = 293,490 : x
  2. Step 2: Convert to fraction form
    135,445.50/293,490 = 293,490/x
  3. Step 3: Cross multiply
    135,445.50x = 293,490 × 293,490
  4. Step 4: Simplify right side
    135,445.50x = 86,136,380,100
  5. Step 5: Solve for x
    x = 86,136,380,100/135,445.50
  6. Step 6: Final answer
    x = 635,948.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.