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Finding the Third Proportional to 193,521 and 293,197.50

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Solution

The third proportional to 193,521 and 293,197.50 is: 444,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,521 : 293,197.50 = 293,197.50 : x
  2. Step 2: Convert to fraction form
    193,521/293,197.50 = 293,197.50/x
  3. Step 3: Cross multiply
    193,521x = 293,197.50 × 293,197.50
  4. Step 4: Simplify right side
    193,521x = 85,964,774,006.25
  5. Step 5: Solve for x
    x = 85,964,774,006.25/193,521
  6. Step 6: Final answer
    x = 444,214.19

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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.