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Finding the Third Proportional to 221,068.50 and 333,703.88

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Solution

The third proportional to 221,068.50 and 333,703.88 is: 503,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,068.50 : 333,703.88 = 333,703.88 : x
  2. Step 2: Convert to fraction form
    221,068.50/333,703.88 = 333,703.88/x
  3. Step 3: Cross multiply
    221,068.50x = 333,703.88 × 333,703.88
  4. Step 4: Simplify right side
    221,068.50x = 111,358,276,190.02
  5. Step 5: Solve for x
    x = 111,358,276,190.02/221,068.50
  6. Step 6: Final answer
    x = 503,727.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.