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Finding the Third Proportional to 199,710 and 434,686.50

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Solution

The third proportional to 199,710 and 434,686.50 is: 946,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,710 : 434,686.50 = 434,686.50 : x
  2. Step 2: Convert to fraction form
    199,710/434,686.50 = 434,686.50/x
  3. Step 3: Cross multiply
    199,710x = 434,686.50 × 434,686.50
  4. Step 4: Simplify right side
    199,710x = 188,952,353,282.25
  5. Step 5: Solve for x
    x = 188,952,353,282.25/199,710
  6. Step 6: Final answer
    x = 946,133.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.