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Finding the Third Proportional to 191,848.50 and 300,952.13

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Solution

The third proportional to 191,848.50 and 300,952.13 is: 472,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,848.50 : 300,952.13 = 300,952.13 : x
  2. Step 2: Convert to fraction form
    191,848.50/300,952.13 = 300,952.13/x
  3. Step 3: Cross multiply
    191,848.50x = 300,952.13 × 300,952.13
  4. Step 4: Simplify right side
    191,848.50x = 90,572,181,542.02
  5. Step 5: Solve for x
    x = 90,572,181,542.02/191,848.50
  6. Step 6: Final answer
    x = 472,102.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.