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Finding the Third Proportional to 193,521 and 273,271.50

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Solution

The third proportional to 193,521 and 273,271.50 is: 385,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,521 : 273,271.50 = 273,271.50 : x
  2. Step 2: Convert to fraction form
    193,521/273,271.50 = 273,271.50/x
  3. Step 3: Cross multiply
    193,521x = 273,271.50 × 273,271.50
  4. Step 4: Simplify right side
    193,521x = 74,677,312,712.25
  5. Step 5: Solve for x
    x = 74,677,312,712.25/193,521
  6. Step 6: Final answer
    x = 385,887.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.