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Finding the Third Proportional to 237,894 and 322,929

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Solution

The third proportional to 237,894 and 322,929 is: 438,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,894 : 322,929 = 322,929 : x
  2. Step 2: Convert to fraction form
    237,894/322,929 = 322,929/x
  3. Step 3: Cross multiply
    237,894x = 322,929 × 322,929
  4. Step 4: Simplify right side
    237,894x = 104,283,139,041
  5. Step 5: Solve for x
    x = 104,283,139,041/237,894
  6. Step 6: Final answer
    x = 438,359.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.