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Finding the Third Proportional to 136,464 and 293,664

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Solution

The third proportional to 136,464 and 293,664 is: 631,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,464 : 293,664 = 293,664 : x
  2. Step 2: Convert to fraction form
    136,464/293,664 = 293,664/x
  3. Step 3: Cross multiply
    136,464x = 293,664 × 293,664
  4. Step 4: Simplify right side
    136,464x = 86,238,544,896
  5. Step 5: Solve for x
    x = 86,238,544,896/136,464
  6. Step 6: Final answer
    x = 631,950.88

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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.