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Finding the Third Proportional to 196,574 and 294,549

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Solution

The third proportional to 196,574 and 294,549 is: 441,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,574 : 294,549 = 294,549 : x
  2. Step 2: Convert to fraction form
    196,574/294,549 = 294,549/x
  3. Step 3: Cross multiply
    196,574x = 294,549 × 294,549
  4. Step 4: Simplify right side
    196,574x = 86,759,113,401
  5. Step 5: Solve for x
    x = 86,759,113,401/196,574
  6. Step 6: Final answer
    x = 441,356.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.