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Finding the Third Proportional to 133,752 and 315,720

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Solution

The third proportional to 133,752 and 315,720 is: 745,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,752 : 315,720 = 315,720 : x
  2. Step 2: Convert to fraction form
    133,752/315,720 = 315,720/x
  3. Step 3: Cross multiply
    133,752x = 315,720 × 315,720
  4. Step 4: Simplify right side
    133,752x = 99,679,118,400
  5. Step 5: Solve for x
    x = 99,679,118,400/133,752
  6. Step 6: Final answer
    x = 745,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.