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Finding the Third Proportional to 134,434.69 and 293,325.05

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Solution

The third proportional to 134,434.69 and 293,325.05 is: 640,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,434.69 : 293,325.05 = 293,325.05 : x
  2. Step 2: Convert to fraction form
    134,434.69/293,325.05 = 293,325.05/x
  3. Step 3: Cross multiply
    134,434.69x = 293,325.05 × 293,325.05
  4. Step 4: Simplify right side
    134,434.69x = 86,039,583,124.22
  5. Step 5: Solve for x
    x = 86,039,583,124.22/134,434.69
  6. Step 6: Final answer
    x = 640,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.