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Finding the Third Proportional to 188,277 and 293,530.50

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Solution

The third proportional to 188,277 and 293,530.50 is: 457,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,277 : 293,530.50 = 293,530.50 : x
  2. Step 2: Convert to fraction form
    188,277/293,530.50 = 293,530.50/x
  3. Step 3: Cross multiply
    188,277x = 293,530.50 × 293,530.50
  4. Step 4: Simplify right side
    188,277x = 86,160,154,430.25
  5. Step 5: Solve for x
    x = 86,160,154,430.25/188,277
  6. Step 6: Final answer
    x = 457,624.43

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