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Finding the Third Proportional to 196,594 and 296,758

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Solution

The third proportional to 196,594 and 296,758 is: 447,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,594 : 296,758 = 296,758 : x
  2. Step 2: Convert to fraction form
    196,594/296,758 = 296,758/x
  3. Step 3: Cross multiply
    196,594x = 296,758 × 296,758
  4. Step 4: Simplify right side
    196,594x = 88,065,310,564
  5. Step 5: Solve for x
    x = 88,065,310,564/196,594
  6. Step 6: Final answer
    x = 447,955.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.