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Finding the Third Proportional to 226,557 and 306,605.25

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Solution

The third proportional to 226,557 and 306,605.25 is: 414,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,557 : 306,605.25 = 306,605.25 : x
  2. Step 2: Convert to fraction form
    226,557/306,605.25 = 306,605.25/x
  3. Step 3: Cross multiply
    226,557x = 306,605.25 × 306,605.25
  4. Step 4: Simplify right side
    226,557x = 94,006,779,327.56
  5. Step 5: Solve for x
    x = 94,006,779,327.56/226,557
  6. Step 6: Final answer
    x = 414,936.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.