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Finding the Third Proportional to 193,840.88 and 410,695.88

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Solution

The third proportional to 193,840.88 and 410,695.88 is: 870,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,840.88 : 410,695.88 = 410,695.88 : x
  2. Step 2: Convert to fraction form
    193,840.88/410,695.88 = 410,695.88/x
  3. Step 3: Cross multiply
    193,840.88x = 410,695.88 × 410,695.88
  4. Step 4: Simplify right side
    193,840.88x = 168,671,101,742.02
  5. Step 5: Solve for x
    x = 168,671,101,742.02/193,840.88
  6. Step 6: Final answer
    x = 870,152.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.