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Finding the Third Proportional to 238,322 and 349,464

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Solution

The third proportional to 238,322 and 349,464 is: 512,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,322 : 349,464 = 349,464 : x
  2. Step 2: Convert to fraction form
    238,322/349,464 = 349,464/x
  3. Step 3: Cross multiply
    238,322x = 349,464 × 349,464
  4. Step 4: Simplify right side
    238,322x = 122,125,087,296
  5. Step 5: Solve for x
    x = 122,125,087,296/238,322
  6. Step 6: Final answer
    x = 512,437.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.