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Finding the Third Proportional to 134,898.50 and 291,410.50

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Solution

The third proportional to 134,898.50 and 291,410.50 is: 629,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,898.50 : 291,410.50 = 291,410.50 : x
  2. Step 2: Convert to fraction form
    134,898.50/291,410.50 = 291,410.50/x
  3. Step 3: Cross multiply
    134,898.50x = 291,410.50 × 291,410.50
  4. Step 4: Simplify right side
    134,898.50x = 84,920,079,510.25
  5. Step 5: Solve for x
    x = 84,920,079,510.25/134,898.50
  6. Step 6: Final answer
    x = 629,510.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.