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Finding the Third Proportional to 187,582.50 and 410,740.88

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Solution

The third proportional to 187,582.50 and 410,740.88 is: 899,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,582.50 : 410,740.88 = 410,740.88 : x
  2. Step 2: Convert to fraction form
    187,582.50/410,740.88 = 410,740.88/x
  3. Step 3: Cross multiply
    187,582.50x = 410,740.88 × 410,740.88
  4. Step 4: Simplify right side
    187,582.50x = 168,708,066,395.77
  5. Step 5: Solve for x
    x = 168,708,066,395.77/187,582.50
  6. Step 6: Final answer
    x = 899,380.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.