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Finding the Third Proportional to 136,748 and 295,366

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Solution

The third proportional to 136,748 and 295,366 is: 637,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,748 : 295,366 = 295,366 : x
  2. Step 2: Convert to fraction form
    136,748/295,366 = 295,366/x
  3. Step 3: Cross multiply
    136,748x = 295,366 × 295,366
  4. Step 4: Simplify right side
    136,748x = 87,241,073,956
  5. Step 5: Solve for x
    x = 87,241,073,956/136,748
  6. Step 6: Final answer
    x = 637,969.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.