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Finding the Third Proportional to 136,453 and 293,642

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Solution

The third proportional to 136,453 and 293,642 is: 631,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,453 : 293,642 = 293,642 : x
  2. Step 2: Convert to fraction form
    136,453/293,642 = 293,642/x
  3. Step 3: Cross multiply
    136,453x = 293,642 × 293,642
  4. Step 4: Simplify right side
    136,453x = 86,225,624,164
  5. Step 5: Solve for x
    x = 86,225,624,164/136,453
  6. Step 6: Final answer
    x = 631,907.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.