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Finding the Third Proportional to 133,025 and 295,574

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Solution

The third proportional to 133,025 and 295,574 is: 656,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 295,574 = 295,574 : x
  2. Step 2: Convert to fraction form
    133,025/295,574 = 295,574/x
  3. Step 3: Cross multiply
    133,025x = 295,574 × 295,574
  4. Step 4: Simplify right side
    133,025x = 87,363,989,476
  5. Step 5: Solve for x
    x = 87,363,989,476/133,025
  6. Step 6: Final answer
    x = 656,748.65

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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.