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Finding the Third Proportional to 187,582.06 and 410,741.69

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Solution

The third proportional to 187,582.06 and 410,741.69 is: 899,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,582.06 : 410,741.69 = 410,741.69 : x
  2. Step 2: Convert to fraction form
    187,582.06/410,741.69 = 410,741.69/x
  3. Step 3: Cross multiply
    187,582.06x = 410,741.69 × 410,741.69
  4. Step 4: Simplify right side
    187,582.06x = 168,708,733,850.35
  5. Step 5: Solve for x
    x = 168,708,733,850.35/187,582.06
  6. Step 6: Final answer
    x = 899,386.28

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Why These Related Problems?

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