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Finding the Third Proportional to 133,024 and 295,572

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Solution

The third proportional to 133,024 and 295,572 is: 656,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024 : 295,572 = 295,572 : x
  2. Step 2: Convert to fraction form
    133,024/295,572 = 295,572/x
  3. Step 3: Cross multiply
    133,024x = 295,572 × 295,572
  4. Step 4: Simplify right side
    133,024x = 87,362,807,184
  5. Step 5: Solve for x
    x = 87,362,807,184/133,024
  6. Step 6: Final answer
    x = 656,744.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.