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Finding the Third Proportional to 151,035 and 352,747.50

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Solution

The third proportional to 151,035 and 352,747.50 is: 823,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,035 : 352,747.50 = 352,747.50 : x
  2. Step 2: Convert to fraction form
    151,035/352,747.50 = 352,747.50/x
  3. Step 3: Cross multiply
    151,035x = 352,747.50 × 352,747.50
  4. Step 4: Simplify right side
    151,035x = 124,430,798,756.25
  5. Step 5: Solve for x
    x = 124,430,798,756.25/151,035
  6. Step 6: Final answer
    x = 823,854.07

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.