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Finding the Third Proportional to 134,618.63 and 208,416.38

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Solution

The third proportional to 134,618.63 and 208,416.38 is: 322,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,618.63 : 208,416.38 = 208,416.38 : x
  2. Step 2: Convert to fraction form
    134,618.63/208,416.38 = 208,416.38/x
  3. Step 3: Cross multiply
    134,618.63x = 208,416.38 × 208,416.38
  4. Step 4: Simplify right side
    134,618.63x = 43,437,385,368.14
  5. Step 5: Solve for x
    x = 43,437,385,368.14/134,618.63
  6. Step 6: Final answer
    x = 322,669.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.