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Finding the Third Proportional to 136,461.59 and 296,116.38

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Solution

The third proportional to 136,461.59 and 296,116.38 is: 642,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461.59 : 296,116.38 = 296,116.38 : x
  2. Step 2: Convert to fraction form
    136,461.59/296,116.38 = 296,116.38/x
  3. Step 3: Cross multiply
    136,461.59x = 296,116.38 × 296,116.38
  4. Step 4: Simplify right side
    136,461.59x = 87,684,912,169.96
  5. Step 5: Solve for x
    x = 87,684,912,169.96/136,461.59
  6. Step 6: Final answer
    x = 642,561.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.