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Finding the Third Proportional to 134,743.50 and 293,392.13

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Solution

The third proportional to 134,743.50 and 293,392.13 is: 638,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,743.50 : 293,392.13 = 293,392.13 : x
  2. Step 2: Convert to fraction form
    134,743.50/293,392.13 = 293,392.13/x
  3. Step 3: Cross multiply
    134,743.50x = 293,392.13 × 293,392.13
  4. Step 4: Simplify right side
    134,743.50x = 86,078,939,012.02
  5. Step 5: Solve for x
    x = 86,078,939,012.02/134,743.50
  6. Step 6: Final answer
    x = 638,835.56

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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.