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Finding the Third Proportional to 226,044 and 306,999

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Solution

The third proportional to 226,044 and 306,999 is: 416,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,044 : 306,999 = 306,999 : x
  2. Step 2: Convert to fraction form
    226,044/306,999 = 306,999/x
  3. Step 3: Cross multiply
    226,044x = 306,999 × 306,999
  4. Step 4: Simplify right side
    226,044x = 94,248,386,001
  5. Step 5: Solve for x
    x = 94,248,386,001/226,044
  6. Step 6: Final answer
    x = 416,947.08

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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.