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Finding the Third Proportional to 135,444 and 297,136

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Solution

The third proportional to 135,444 and 297,136 is: 651,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,444 : 297,136 = 297,136 : x
  2. Step 2: Convert to fraction form
    135,444/297,136 = 297,136/x
  3. Step 3: Cross multiply
    135,444x = 297,136 × 297,136
  4. Step 4: Simplify right side
    135,444x = 88,289,802,496
  5. Step 5: Solve for x
    x = 88,289,802,496/135,444
  6. Step 6: Final answer
    x = 651,854.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.