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Finding the Third Proportional to 193,725 and 410,548.50

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Solution

The third proportional to 193,725 and 410,548.50 is: 870,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,725 : 410,548.50 = 410,548.50 : x
  2. Step 2: Convert to fraction form
    193,725/410,548.50 = 410,548.50/x
  3. Step 3: Cross multiply
    193,725x = 410,548.50 × 410,548.50
  4. Step 4: Simplify right side
    193,725x = 168,550,070,852.25
  5. Step 5: Solve for x
    x = 168,550,070,852.25/193,725
  6. Step 6: Final answer
    x = 870,048.11

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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.