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Finding the Third Proportional to 134,776 and 197,252

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Solution

The third proportional to 134,776 and 197,252 is: 288,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,776 : 197,252 = 197,252 : x
  2. Step 2: Convert to fraction form
    134,776/197,252 = 197,252/x
  3. Step 3: Cross multiply
    134,776x = 197,252 × 197,252
  4. Step 4: Simplify right side
    134,776x = 38,908,351,504
  5. Step 5: Solve for x
    x = 38,908,351,504/134,776
  6. Step 6: Final answer
    x = 288,689.02

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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.