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Finding the Third Proportional to 226,710 and 353,854.50

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Solution

The third proportional to 226,710 and 353,854.50 is: 552,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,710 : 353,854.50 = 353,854.50 : x
  2. Step 2: Convert to fraction form
    226,710/353,854.50 = 353,854.50/x
  3. Step 3: Cross multiply
    226,710x = 353,854.50 × 353,854.50
  4. Step 4: Simplify right side
    226,710x = 125,213,007,170.25
  5. Step 5: Solve for x
    x = 125,213,007,170.25/226,710
  6. Step 6: Final answer
    x = 552,304.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.