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Finding the Third Proportional to 134,990 and 296,426

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Solution

The third proportional to 134,990 and 296,426 is: 650,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,990 : 296,426 = 296,426 : x
  2. Step 2: Convert to fraction form
    134,990/296,426 = 296,426/x
  3. Step 3: Cross multiply
    134,990x = 296,426 × 296,426
  4. Step 4: Simplify right side
    134,990x = 87,868,373,476
  5. Step 5: Solve for x
    x = 87,868,373,476/134,990
  6. Step 6: Final answer
    x = 650,925.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.