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Finding the Third Proportional to 133,560 and 310,572

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Solution

The third proportional to 133,560 and 310,572 is: 722,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,560 : 310,572 = 310,572 : x
  2. Step 2: Convert to fraction form
    133,560/310,572 = 310,572/x
  3. Step 3: Cross multiply
    133,560x = 310,572 × 310,572
  4. Step 4: Simplify right side
    133,560x = 96,454,967,184
  5. Step 5: Solve for x
    x = 96,454,967,184/133,560
  6. Step 6: Final answer
    x = 722,184.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.