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Finding the Third Proportional to 193,155 and 307,348.50

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Solution

The third proportional to 193,155 and 307,348.50 is: 489,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,155 : 307,348.50 = 307,348.50 : x
  2. Step 2: Convert to fraction form
    193,155/307,348.50 = 307,348.50/x
  3. Step 3: Cross multiply
    193,155x = 307,348.50 × 307,348.50
  4. Step 4: Simplify right side
    193,155x = 94,463,100,452.25
  5. Step 5: Solve for x
    x = 94,463,100,452.25/193,155
  6. Step 6: Final answer
    x = 489,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.