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Finding the Third Proportional to 135,376 and 297,752

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Solution

The third proportional to 135,376 and 297,752 is: 654,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,376 : 297,752 = 297,752 : x
  2. Step 2: Convert to fraction form
    135,376/297,752 = 297,752/x
  3. Step 3: Cross multiply
    135,376x = 297,752 × 297,752
  4. Step 4: Simplify right side
    135,376x = 88,656,253,504
  5. Step 5: Solve for x
    x = 88,656,253,504/135,376
  6. Step 6: Final answer
    x = 654,889.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.