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Finding the Third Proportional to 193,117.50 and 403,875

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Solution

The third proportional to 193,117.50 and 403,875 is: 844,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,117.50 : 403,875 = 403,875 : x
  2. Step 2: Convert to fraction form
    193,117.50/403,875 = 403,875/x
  3. Step 3: Cross multiply
    193,117.50x = 403,875 × 403,875
  4. Step 4: Simplify right side
    193,117.50x = 163,115,015,625
  5. Step 5: Solve for x
    x = 163,115,015,625/193,117.50
  6. Step 6: Final answer
    x = 844,641.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.