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Finding the Third Proportional to 226,656 and 306,700.50

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Solution

The third proportional to 226,656 and 306,700.50 is: 415,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,656 : 306,700.50 = 306,700.50 : x
  2. Step 2: Convert to fraction form
    226,656/306,700.50 = 306,700.50/x
  3. Step 3: Cross multiply
    226,656x = 306,700.50 × 306,700.50
  4. Step 4: Simplify right side
    226,656x = 94,065,196,700.25
  5. Step 5: Solve for x
    x = 94,065,196,700.25/226,656
  6. Step 6: Final answer
    x = 415,013.04

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