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Finding the Third Proportional to 134,834.63 and 293,202

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Solution

The third proportional to 134,834.63 and 293,202 is: 637,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,834.63 : 293,202 = 293,202 : x
  2. Step 2: Convert to fraction form
    134,834.63/293,202 = 293,202/x
  3. Step 3: Cross multiply
    134,834.63x = 293,202 × 293,202
  4. Step 4: Simplify right side
    134,834.63x = 85,967,412,804
  5. Step 5: Solve for x
    x = 85,967,412,804/134,834.63
  6. Step 6: Final answer
    x = 637,576.68

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Why These Related Problems?

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