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Finding the Third Proportional to 134,934.50 and 296,113

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Solution

The third proportional to 134,934.50 and 296,113 is: 649,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,934.50 : 296,113 = 296,113 : x
  2. Step 2: Convert to fraction form
    134,934.50/296,113 = 296,113/x
  3. Step 3: Cross multiply
    134,934.50x = 296,113 × 296,113
  4. Step 4: Simplify right side
    134,934.50x = 87,682,908,769
  5. Step 5: Solve for x
    x = 87,682,908,769/134,934.50
  6. Step 6: Final answer
    x = 649,818.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.