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Finding the Third Proportional to 135,364 and 198,429

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Solution

The third proportional to 135,364 and 198,429 is: 290,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364 : 198,429 = 198,429 : x
  2. Step 2: Convert to fraction form
    135,364/198,429 = 198,429/x
  3. Step 3: Cross multiply
    135,364x = 198,429 × 198,429
  4. Step 4: Simplify right side
    135,364x = 39,374,068,041
  5. Step 5: Solve for x
    x = 39,374,068,041/135,364
  6. Step 6: Final answer
    x = 290,875.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.