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Finding the Third Proportional to 127,200.38 and 197,803.13

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Solution

The third proportional to 127,200.38 and 197,803.13 is: 307,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.38 : 197,803.13 = 197,803.13 : x
  2. Step 2: Convert to fraction form
    127,200.38/197,803.13 = 197,803.13/x
  3. Step 3: Cross multiply
    127,200.38x = 197,803.13 × 197,803.13
  4. Step 4: Simplify right side
    127,200.38x = 39,126,076,259.77
  5. Step 5: Solve for x
    x = 39,126,076,259.77/127,200.38
  6. Step 6: Final answer
    x = 307,594.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.