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Finding the Third Proportional to 134,730 and 196,168.50

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Solution

The third proportional to 134,730 and 196,168.50 is: 285,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,730 : 196,168.50 = 196,168.50 : x
  2. Step 2: Convert to fraction form
    134,730/196,168.50 = 196,168.50/x
  3. Step 3: Cross multiply
    134,730x = 196,168.50 × 196,168.50
  4. Step 4: Simplify right side
    134,730x = 38,482,080,392.25
  5. Step 5: Solve for x
    x = 38,482,080,392.25/134,730
  6. Step 6: Final answer
    x = 285,623.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.