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Finding the Third Proportional to 188,091 and 291,370.50

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Solution

The third proportional to 188,091 and 291,370.50 is: 451,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,091 : 291,370.50 = 291,370.50 : x
  2. Step 2: Convert to fraction form
    188,091/291,370.50 = 291,370.50/x
  3. Step 3: Cross multiply
    188,091x = 291,370.50 × 291,370.50
  4. Step 4: Simplify right side
    188,091x = 84,896,768,270.25
  5. Step 5: Solve for x
    x = 84,896,768,270.25/188,091
  6. Step 6: Final answer
    x = 451,360.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.