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Finding the Third Proportional to 149,834.81 and 210,772.13

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Solution

The third proportional to 149,834.81 and 210,772.13 is: 296,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,834.81 : 210,772.13 = 210,772.13 : x
  2. Step 2: Convert to fraction form
    149,834.81/210,772.13 = 210,772.13/x
  3. Step 3: Cross multiply
    149,834.81x = 210,772.13 × 210,772.13
  4. Step 4: Simplify right side
    149,834.81x = 44,424,888,677.02
  5. Step 5: Solve for x
    x = 44,424,888,677.02/149,834.81
  6. Step 6: Final answer
    x = 296,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.