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Finding the Third Proportional to 134,916 and 293,159

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Solution

The third proportional to 134,916 and 293,159 is: 637,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,916 : 293,159 = 293,159 : x
  2. Step 2: Convert to fraction form
    134,916/293,159 = 293,159/x
  3. Step 3: Cross multiply
    134,916x = 293,159 × 293,159
  4. Step 4: Simplify right side
    134,916x = 85,942,199,281
  5. Step 5: Solve for x
    x = 85,942,199,281/134,916
  6. Step 6: Final answer
    x = 637,005.24

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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.