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Finding the Third Proportional to 193,603.50 and 293,319

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Solution

The third proportional to 193,603.50 and 293,319 is: 444,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,603.50 : 293,319 = 293,319 : x
  2. Step 2: Convert to fraction form
    193,603.50/293,319 = 293,319/x
  3. Step 3: Cross multiply
    193,603.50x = 293,319 × 293,319
  4. Step 4: Simplify right side
    193,603.50x = 86,036,035,761
  5. Step 5: Solve for x
    x = 86,036,035,761/193,603.50
  6. Step 6: Final answer
    x = 444,392.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.