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Finding the Third Proportional to 136,085 and 291,844

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Solution

The third proportional to 136,085 and 291,844 is: 625,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,085 : 291,844 = 291,844 : x
  2. Step 2: Convert to fraction form
    136,085/291,844 = 291,844/x
  3. Step 3: Cross multiply
    136,085x = 291,844 × 291,844
  4. Step 4: Simplify right side
    136,085x = 85,172,920,336
  5. Step 5: Solve for x
    x = 85,172,920,336/136,085
  6. Step 6: Final answer
    x = 625,880.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.