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Finding the Third Proportional to 233,426 and 341,859

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Solution

The third proportional to 233,426 and 341,859 is: 500,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,426 : 341,859 = 341,859 : x
  2. Step 2: Convert to fraction form
    233,426/341,859 = 341,859/x
  3. Step 3: Cross multiply
    233,426x = 341,859 × 341,859
  4. Step 4: Simplify right side
    233,426x = 116,867,575,881
  5. Step 5: Solve for x
    x = 116,867,575,881/233,426
  6. Step 6: Final answer
    x = 500,662.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.